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Graph theory as a branch of discrete mathematics has experienced significant development in its application to modern complex network systems, particularly in digital social networks and transportation systems. This research aims to analyze fundamental concepts of graph theory, examine characteristics of cycle detection algorithms along with their computational complexity, investigate their application in digital social network analysis, and explore their implementation in digital transportation system optimization. The research method employs a qualitative approach with library research focusing on scientific literature from 2020-2025 period from accredited academic databases such as Scopus, Web of Science, and IEEE Xplore, utilizing thematic analysis techniques to identify meaningful patterns from the examined literature. Research findings indicate that fundamental graph theory concepts including vertices, edges, and graph classifications form the foundation for relational structure modeling. Cycle detection algorithms such as Depth-First Search, Union-Find, and Tarjan demonstrate effectiveness with O(V+E) complexity for large-scale graphs. Applications in digital social networks facilitate community identification through Multi-View Clustering, centrality analysis for influencer detection, and understanding viral information dissemination patterns. Implementation in digital transportation systems demonstrates route planning optimization using Dijkstra and Bellman-Ford algorithms, vulnerability analysis through articulation point and bridge identification, and bottleneck detection with betweenness centrality. The research concludes that integration of graph theory in discrete mathematics education enhances critical thinking skills and real-world application understanding, with recommendations for algorithm development for massive dynamic graphs and machine learning integration in graph algorithm optimization.

This study aims to analyze policy integration and the level of public participation in the implementation of coordination meetings on public transportation provision in Southeast Sulawesi Province as a strategic effort to improve the quality of land transportation services. This coordination meeting was held on December 3, 2025, involving various stakeholders, including the Southeast Sulawesi Provincial Transportation Agency, the Regency/City Transportation Agency throughout Southeast Sulawesi, Perum DAMRI, and the Passenger Transportation Legal Entity. The research method used was descriptive qualitative with a policy and institutional analysis approach, supported by data from discussions, meeting minutes, and related policy documents. The results showed that the coordination meeting activities were able to strengthen policy understanding between agencies, increase the effectiveness of institutional coordination, and encourage synergy between the role of the government and transportation business actors. In addition, this forum also played a significant role in formulating joint strategies to improve the quality of public transportation services, including aspects of route planning, service standards, and operational sustainability. Through a structured coordination mechanism and discussion, each party gained a more comprehensive understanding of their respective roles, authorities, and responsibilities in the implementation of regional transportation. Thus, this coordination meeting is an important instrument in supporting collaborative and public service-oriented transportation governance.

Employee performance is a key factor in determining organizational success in achieving its strategic objectives. Various management studies indicate that employee performance is not solely influenced by individual factors, but is also significantly affected by organizational factors, particularly organizational planning and organizational structure. Effective organizational planning provides a clear direction and strategic framework that guides employees in performing their tasks, while an appropriate organizational structure facilitates coordination, clarifies authority, and supports the efficient execution of work. This study aims to analyze the influence of organizational planning and organizational structure on employee performance through a systematic literature review approach. The research method employed is a systematic literature review by examining relevant national and international journal articles published within the last ten years. Data were collected from reputable academic databases to ensure the credibility and relevance of the sources. The selected studies were analyzed qualitatively to identify patterns, relationships, and key findings related to the research variables. The results of the literature review indicate that systematic and well-formulated organizational planning contributes positively to improving goal clarity, work coordination, and employee motivation. Furthermore, an organizational structure that is aligned with organizational strategies plays an important role in clarifying task distribution, authority lines, and overall work effectiveness. The findings also reveal that organizational planning and organizational structure are interrelated and mutually reinforcing in shaping employee performance. This study concludes that the integration of organizational planning and organizational structure is a crucial factor in enhancing sustainable employee performance. The results of this study are expected to provide both theoretical contributions to organizational management studies and practical references for organizations in designing effective management systems.  

Production planning and inventory control are critical aspects of operations management, as they directly influence cost efficiency, resource utilization, and the continuity of the production process. Ineffective planning and inventory decisions may lead to excessive costs, production delays, or imbalances between supply and demand. The complexity of these problems, which often involve multi-period horizons and multi-stage decision-making processes, has encouraged the application of quantitative optimization methods, one of which is dynamic programming. This study aims to analyze and synthesize the application of dynamic programming in production planning and inventory control through a Systematic Literature Review (SLR) approach. The SLR process was conducted by systematically identifying, selecting, and analyzing 15 relevant national journal articles published between 2015 and 2024 and obtained from various recognized scientific databases. The reviewed literature indicates that dynamic programming is effective in supporting optimal decision-making by determining appropriate production quantities and inventory levels, minimizing total production and holding costs, and managing fluctuating demand conditions. In addition, this method helps reduce the risks associated with overstock and stockouts by considering sequential decision structures. However, the findings also reveal several limitations of dynamic programming, including high computational complexity, strong dependence on deterministic data assumptions, and limited flexibility in handling high levels of uncertainty. These constraints suggest the need for further methodological development or integration with other approaches to enhance practical applicability.

Digital transformation (DT) has become a critical component for organizations aiming to enhance their operational efficiency, innovation, and competitiveness. However, many organizations struggle to achieve successful digital transformation due to the misalignment between their Enterprise Information Systems (EIS) and organizational strategic goals. This research seeks to design and validate a model for aligning EIS with digital transformation strategies to improve organizational effectiveness. By adopting the Design Science Research (DSR) approach, this study develops a practical model that integrates strategic planning, process management methodologies, and emerging technologies to facilitate alignment between IT and business strategies. The research includes key steps such as requirement analysis, artifact design, expert validation, and case study evaluation to ensure the model's robustness and applicability across different organizational contexts. Findings indicate that the proposed model significantly improves strategic-system alignment, enhances decision-making consistency, and facilitates better integration between business and IT units. The model also addresses common challenges such as resistance to change, skill gaps, and misalignment, fostering a supportive culture for digital transformation. In comparison to existing descriptive frameworks, the proposed model is more structured, adaptable, and actionable, providing organizations with a clear framework to guide their digital transformation efforts. This research contributes to the growing body of knowledge on EIS alignment and offers practical insights for organizations seeking to achieve successful digital transformation. Future research could explore the model's application in various organizational settings and examine its impact on long-term organizational growth and innovation.

This community service activity aimed to strengthen teachers’ competencies in utilizing digital platforms to support project-based learning at a vocational high school. The background of this activity was the limited ability of teachers to manage project-based learning in a structured and systematic manner using digital platforms. The method employed was participatory mentoring, involving needs analysis, activity planning, implementation of digital platform mentoring, monitoring and evaluation, and reflection with follow-up actions. The participants were teachers of SMK Negeri 1 Tukak Sadai, Bangka Barat. The results indicated an improvement in teachers’ understanding and skills in designing, managing, and evaluating project-based learning using digital platforms. Teachers became more confident in integrating technology into learning processes and demonstrated better organization of project activities. This activity contributed to enhancing teachers’ digital competencies and improving the quality of project-based learning practices in vocational education. The findings suggest that participatory mentoring is an effective approach to supporting sustainable digital learning innovation in vocational schools.

This study compares Grammarly and Paraphraser.io in supporting students’ academic writing and rewriting skills based on Flower and Hayes’s (1981) cognitive process theory, which includes the stages of planning, translating, and reviewing. Using a descriptive qualitative method supported by quantitative data, the research involved 32 English Education students who had used both tools in academic writing. Data were collected through questionnaires and analyzed descriptively to identify students’ perceptions of grammatical accuracy, rewriting ability, feedback quality, and overall writing improvement. The results of this study indicate that 54.4% of students use Grammarly and 45.6% use Paraphraser.io, showing that Grammarly is the slightly more dominant and trusted tool for improving grammatical accuracy and clarity, while Paraphraser.io functions as a complementary platform for paraphrasing and generating new sentence structures; together, both tools contribute effectively though through distinct roles to enhancing students’ academic writing performance. The comparative analysis revealed that Grammarly was most effective in enhancing analytical skills during the planning and reviewing stages, improving grammar, coherence, and clarity. In contrast, Paraphraser.io was most beneficial for generative skills in the translating stage, directly enhancing originality and sentence variation. Most respondents rated their writing improvement highly, confirming the positive impact of both tools on academic performance. In conclusion, the findings confirm that Grammarly and Paraphraser.io serve distinct, yet complementary roles: the former ensures linguistic precision, while the latter supports structural creativity, ultimately helping students produce highly accurate and original academic texts.

The management of material and labor costs at Gregors Barbershop is still manual and not formally structured, resulting in wastage of consumable materials, suboptimal labor utilization, and difficulties in determining service prices that align with the expected profit margins. Material costs, such as hair gel, tissues, disposable razors, and alcohol/disinfectants, are not recorded systematically, leading to frequent mismatches between stock and actual needs, while labor costs are calculated improvisationally without considering productivity and service targets. This activity aims to improve the ability of owners and employees to plan, control, and evaluate operational costs systematically, ensuring efficiency, resource optimization, and business profitability. The method uses an applied, hands-on approach, including the identification of partner needs, preparation of relevant training modules, direct operational mentoring, and evaluation with follow-up. The object of the activity is Gregors Barbershop in Batu Aji District, Batam City, which offers services such as modern men’s haircuts, classic shaves, shaving, hair treatments, and the sale of grooming products like pomade and hair oil. The results show increased efficiency in the use of consumable materials, more productive labor management, more systematic cost planning, and the ability to set service prices in line with costs and profit margins. It is recommended to implement a digital recording system and productivity-based incentives to ensure more accurate cost control, more efficient operations, and sustainable business profitability.

Inclusive education requires a comprehensive understanding of the characteristics and learning needs of students with special needs, particularly children with autism spectrum disorders. Assessment plays a crucial role as an initial step in identifying abilities, challenges, and educational needs to design appropriate learning interventions. This study aims to describe the results of developmental assessment of a child with autism in an inclusive education setting at SKH 01 Nurbayan Grade 5. This research employs a descriptive approach using assessment instruments that cover five developmental domains: social interaction, communication, behavior, emotional regulation, and sensory perception. The results reveal significant difficulties in social communication, including low social interest, delayed language development, limited nonverbal communication, and the presence of repetitive behaviors. Emotional regulation remains underdeveloped, and sensory processing issues are evident. These findings indicate that children with autism require individualized, structured, and needs-based educational interventions. Therefore, assessment serves as a fundamental basis for planning effective and sustainable inclusive learning programs.

This study aims to describe the application of management functions in pastoral care for PLHIV. The research method used is a descriptive qualitative method with data collection techniques through observation and interviews. The study was conducted at the HKBP AIDS Ministry (HAM) Balige. Research Findings indicate that the implementation of pastoral care management functions such as planning, organizing, implementing, monitoring and evaluation has been carried out well. The planning stage generally concerns the foundation's readiness to provide assistance in the form of data collection on the identity of the assisted, infrastructure, and scheduling. The organizing stage includes the division of personnel tasks, the formation of peer groups as service partners. The implementation stage is the aspect of implementing pastoral care with the aim of realizing assistance for PLHIV through early detection facilities, providing medication to PLHIV, and educating the community in the form of socialization or seminars. The monitoring stage is carried out by monitoring the progress of the assisted through ARV compliance forms. Meanwhile, evaluation of pastoral care for PLHIV is carried out in weekly meetings to ensure all activities are carried out properly. The implications of these findings support the principle of the importance of managerial aspects in pastoral care so that the assistance is more effective, structured and sustainable so that efforts to improve the quality of life and the healing process of PLHIV can be enhanced.

The growth of the digital economy has accelerated the development of online shops as part of digital MSMEs; however, this growth has not been fully supported by systematic financial management practices. This study aims to analyze financial management strategies applied by online shops in Parepare City based on four main indicators: financial planning, recording, reporting, and control. This research employed a qualitative approach within a postpositivist paradigm. Data were collected through participatory observation, semi-structured interviews, and documentation from five online shops selected using purposive sampling. Data analysis followed an interactive model consisting of data reduction, data display, and conclusion drawing, while data credibility was ensured through source and method triangulation. The findings reveal that financial management practices have been implemented by all research objects but remain at a basic level. Financial planning is primarily short-term and experience-based, financial recording is predominantly manual, financial reporting does not yet include formal profit and loss analysis, and financial control lacks measurable quantitative indicators. These results indicate that the main challenge in online shop financial management lies not in the absence of financial practices, but in the quality of implementation and the use of financial data for strategic decision-making. This study is expected to contribute empirically to the literature on digital MSME financial management and provide practical guidance for online shop owners to improve sustainable financial management practices.

This study aims to analyze the level of digital readiness and the development of digital promotion strategies at Florina Bouquet MSME as an effort to enhance competitiveness in the digital era. The research background arises from the limited optimi\zation of Instagram features and digital marketing strategies, resulting in low product visibility in the digital market. This study employs a qualitative descriptive approach with data collected through observation, in-depth interviews, and literature review. A scoring analysis was applied to evaluate three main components: digital readiness, digital marketing strategy and implementation, and their impact on competitiveness. The findings indicate that Florina Bouquet demonstrates a relatively high level of digital readiness in terms of infrastructure and basic platform utilization; however, weaknesses remain in strategic planning, content creation, feature optimization, and consistent monitoring. Despite these limitations, the uniqueness of the product and strong market potential contribute positively to competitiveness, especially in differentiation and brand perception. The results highlight the need for more structured, consistent, and data-driven digital promotion strategies to improve marketing effectiveness and expand market reach. This study provides practical implications and strategic recommendations for MSMEs to strengthen their digital marketing performance sustainably.

The forest fire that occurred in Mount Merbabu National Park in October 2023 had a significant impact on hiking tourism activities along the Thekelan trail in Semarang Regency, Central Java, Indonesia. This study aims to identify the impacts of forest fires on hiking tourism, explore stakeholders’ perceptions of post-fire management challenges, and develop an applicable adaptive management framework for the sustainable management of hiking tourism. The research employed a qualitative descriptive approach, with data collected through semi-structured interviews involving basecamp managers, national park officers, hikers, and local community members. The findings reveal that the wildfire caused severe vegetation damage, an estimated eighty percent decline in community income, and disruptions to both ecological balance and tourism activities. Despite these challenges, the local community demonstrated strong solidarity and active participation in recovery and rehabilitation efforts. The study proposes an adaptive management framework encompassing impact assessment, collaborative planning, rehabilitation and education, phased reopening, and continuous monitoring and adjustment. The adaptive management approach proves effective in enhancing the resilience of nature-based tourism destinations to future environmental disturbances and in promoting sustainable tourism practices.

Social media has become an important element in the public relations strategy of government agencies, including the Human Resources Development Agency (BPSDM) of the Ministry of Public Works (PU). Instagram, as the most popular platform in the world, plays a strategic role in disseminating institutional information. This study focuses on analyzing the PR strategy of BPSDM PU through the management of the Instagram account @pu_bpsdm. The method used is descriptive qualitative through observation, interviews with the Public Communication Team, and literature study. The results of the study show that the PR strategy is implemented through four step according to Cutlip & Center, namely situation analysis, planning, communication implementation, and evaluation. Issue identification is carried out through a top-down and bottom-up approach to ensure that the message is in line with public needs and the agency's agenda. Content production is carried out in a structured manner with a multi-layered verification mechanism, while routine evaluations show a significant increase in engagement from 25.2% (June), 29.28% (July), to 40.84% (August). These findings confirm that the BPSDM PU's digital PR strategy is effective and contributes to strengthening the institution's image in the public communication sphere.

This study investigates the implementation of the PAIKEM Gembrot model to enhance the literacy, numeracy, and creativity of fifth-grade students at UPT SDN Unjuruiya No. 45 in the Selayar Islands. Using a two-cycle classroom action research design—comprising planning, action, observation, and reflection—data were collected through tests, observations, and documentation to obtain comprehensive information on both learning processes and outcomes. In Cycle I, only 40% of students met the mastery criteria, largely due to their initial adjustment to the new learning approach and limited engagement in collaborative activities. After refining instructional strategies in Cycle II, including the use of more varied learning activities, concrete and contextual learning media, structured group discussions, and closer teacher guidance, student learning outcomes improved dramatically, with 100% of students achieving mastery. In addition, students showed increased participation, confidence, and motivation during classroom interactions. These results demonstrate that PAIKEM Gembrot effectively strengthens students’ abilities to comprehend information, apply numerical reasoning, and express creativity through active and meaningful learning experiences. Therefore, the PAIKEM Gembrot model serves as a promising and contextually relevant alternative for improving elementary science learning, particularly in island-based schools with limited educational resources.

The application of Mastery Learning in Olympiad mentoring at Darussalam Islamic Junior High School was carried out using a classroom action research model involving 20 students from grades 8 and 9. The mentoring process followed a cyclical structure consisting of planning, action, observation, and reflection, supported by observation techniques, tests, and documentation. The implementation of the mastery learning model effectively improved students’ mathematics learning outcomes, as shown by a significant increase in mastery levels: 65% before the intervention, 75% after the first cycle, and 90% after the second cycle. In addition, the average learning score rose from 71 in the first cycle to 87 in the second cycle, reflecting substantial progress in understanding and problem-solving abilities. These results indicate that Mastery Learning not only enhances students’ mathematics performance but also strengthens their readiness and confidence to compete in the National OSN competition, demonstrating the model’s positive contribution to academic achievement and Olympiad preparation.

In engineering practice, various methods have been implemented to stabilize landslide-prone slopes, one of which is the use of bore piles. Bore piles are structures that hold back soil and make slopes more stable by reinforcing the ground inside them. However, the application of bore piles in landslide mitigation presents its own challenges, making it essential to identify and anticipate potential issues that may arise in field engineering practice. Bore piles are installed vertically, either parallel or staggered, at specific spacing and are often combined with capping beams and struts to resist soil movement and provide lateral restraint. This method is commonly applied to high-risk slopes or critical infrastructures such as roads, bridges, and buildings. Anticipation strategies in engineering practice consist of three stages: planning, implementation, and long-term maintenance, with this study focusing specifically on anticipation strategies during the implementation stage. Although bore piles serve as an effective solution to reduce landslide risk, their success depends heavily on proper planning, construction execution, and maintenance. Issues such as soil conditions, construction quality, and external factors must be addressed through a comprehensive engineering approach.

This community service program aims to optimize construction project planning through assistance in preparing a business feasibility study at PT Sahabat Anugrah Sejati. The construction sector is a strategic industry that requires effective resource management, proper risk mitigation, and accurate planning to ensure project success. Therefore, the program supported the partner in analyzing financial, managerial, market, and economic aspects prior to making investment decisions for the proposed project. The results show that the project is feasible based on the Net Present Value (NPV) and Internal Rate of Return (IRR) analyses. An efficient organizational structure, a competent management team, and strong supervision mechanisms further strengthen the project’s operational readiness. Increasing demand for construction services also enhances the company’s market prospects. However, several areas still require improvement, including heavy equipment utilization, material efficiency, and digital marketing strategies. This program provides strategic recommendations to help PT Sahabat Anugrah Sejati improve project feasibility, operational effectiveness, and long-term business sustainability.

Histology practicum, as one of the compulsory practicum courses, offers a great opportunity to practice various aspects of science process skills through microscopic tissue observation activities, identification of cell and tissue structures, and analysis of tissue functions in organisms. This study aims to analyze the science process skills biology education students through histology practicum activities. This study uses a quantitative descriptive approach with a survey method to analyze the science process skills of biology education students through histology practicum activities. Data collection in this study used three main techniques, namely science process skills tests, direct observation, and analysis of practicum report documents. Furthermore, the data were analyzed descriptively quantitatively using descriptive statistics to describe the profile of students' science process skills. Analysis per aspect revealed that students had good skills in the aspects of observing (78.50%), classifying (76.33%), interpreting data (71.67%), applying concepts (73.25%), and communicating results (73.40%), which indicates that histology practicum is effective in developing basic science process skills. However, the aspects of formulating hypotheses (58.17%) and planning experiments (54.83%) were still in the sufficient category, indicating that students experienced difficulties in integrated science process skills that require higher-order thinking skills. The findings this study provide important implications for the development of more comprehensive histology practicum learning strategies, including the integration of inquiry approaches, the use of continuous formative assessment, the application of differentiated learning, and strengthening the connection between theory and practice to optimize the development of all aspects of science process skills of prospective biology teachers.  

This study discusses the implementation of the Self-Directed Learning Programme by integrating Learning Outcomes (CP), Learning Objectives (TP), and Learning Objective Processes (ATP) to enhance teaching quality and teacher professionalism. Using a library research method, this study analyses relevant scientific literature to understand the relationship between the integration of the three components of the education programme and classroom teaching practices. The research findings indicate that teachers still encounter challenges in understanding and integrating CP, TP, and ATP, particularly in planning, implementing teaching strategies, and conducting authentic assessments. However, when this integration is well executed, the teaching process becomes more purposeful, flexible and responsive to students' needs. Furthermore, integrating CP–TP–ATP has been shown to strengthen teachers' professionalism by enhancing their understanding of the curriculum, their ability to design learning activities, and their capacity to conduct competency-based assessment. This study confirms that the successful implementation of the Free Education Programme depends heavily on teachers' ability to understand the curriculum's structure and to integrate these three components consistently. Therefore, training, supporting, and developing teachers' competencies is an important requirement for the effective and sustainable implementation of the Liberal Education Programme.