The Rainbow Connection Number of Snail Graphs

Authors

  • Gema Hista Medika Departemen Matematika Dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas, Padang
  • Syafrizal Sy Departemen Matematika Dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas, Padang
  • Muhafzan Departemen Matematika Dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas, Padang
  • Zulfaneti Universitas PGRI Sumatera Barat, Padang

DOI:

https://doi.org/10.30983/biced.v3i1.824

Keywords:

Rainbow Connection Number, Rainbow Connection, Snail Graph

Abstract

Several previous studies have investigated the rainbow connection number. This research aims to determine the rainbow connection number of the snail graph. The snail graph, denoted by Sln , is constructed from a triangular book subgraph BTn whose common spine is amalgamated with the cycle C4, then two pendant vertices are added and attached to one of the end-vertices of the amalgamated spine. The rainbow connection number of a connected graph G, written rc(G), is defined as the minimum number of colors required so that G becomes rainbow connected. This study is a qualitative descriptive research. The method used is literature study, and the data analysis technique is non-statistical data analysis. From the results, it is found that the rainbow connection number of the snail graph is:4 when n=1;4 when n=2;5 when n=3;5 when n=4; and6 for all n≥5.

References

Ningrum, L. I., Kusumaningsih, W., & Soedjono. (2025). The Influence of Principal’s Instructional Leadership and Work Motivation on Teachers’ Professional Competence. Jurnal Educative: Journal of Educational Studies, 10(1), 1–18. https://doi.org/10.30983/educative.v10i1.9392

Rahmahidayati Sari, Azmatul khairiah sari, & Khalila Husnasari. (2025). Information Literacy of IAIN Takengon’s Students in Age of Misleading Content on Social Media. Jurnal Educative: Journal of Educational Studies, 10(1), 19–30. https://doi.org/10.30983/educative.v10i1.9582

Tompul, H. J. B., Tanjung, S., & Ampera, D. (2025). The Development of English Language Learning Multimedia Based on Problem-Based Learning Using Linktree. Jurnal Educative: Journal of Educational Studies, 10(1), 31–42. https://doi.org/10.30983/educative.v10i1.9634

Samosir, L., Yulia, E., Siagian, S., & Sahat Maringan Samosir. (2025). Development of Social Studies Multimedia Learning Based on Discovery Learning Using Kodular at The Junior High School Level. Jurnal Educative: Journal of Educational Studies, 10(1), 43–55. https://doi.org/10.30983/educative.v10i1.9633

Wijayanti, F., & Miqawati, A. H. (2025). Promoting Authentic Interaction: Investigating Student-Generated Role Play for Pragmatic Skills Development in Indonesian Vocational Efl Students. Jurnal Educative: Journal of Educational Studies, 10(1), 56–66. https://doi.org/10.30983/educative.v10i1.9580

Majid, I. A., Abdullah, N. M. S. A. N., Efendi, F., Shohib, M. W., & Muhammad-Lawal, A. A. (2025). The Implementation of Value-based Leadership in the State Islamic Higher Education Institutions . Jurnal Educative: Journal of Educational Studies, 10(1), 97–112. https://doi.org/10.30983/educative.v10i1.9882

Fadhilah Hidayat, S., Nasiriyah, M., Herawan, E., & Yeni Sugiarti, I. (2025). CATUR EMPATI (CEMPA) : An Innovative Educational Game Approach to Enhance Empathy and Prevent Bullying. Jurnal Educative: Journal of Educational Studies, 10(1), 80–96. https://doi.org/10.30983/educative.v10i1.9550

zamzami, M. J., Asrohah, H. A., & Zainiyati, H. S. Z. (2025). Implementing Cybergogy as a Collaborative Approach to Online Islamic Education in the Digital Era. Jurnal Educative: Journal of Educational Studies, 10(1), 67–79. https://doi.org/10.30983/educative.v10i1.9581

Hanif, F., & Abdurrahman, A. (2024). Enhancing 21 St-Cetury Skills Through Project-Based Learning: Isights from Vocational Education in Egypt. Jurnal Educative: Journal of Educational Studies, 9(2), 92–103. https://doi.org/10.30983/educative.v9i2.8574

Desvidisa Aryani, N., Marini, A., Edwita, Yatimah, D., & Zakiah, L. (2024). Generation Alpha: Challenges and Strategies of Teachers Based on Behavioristic Theory . Jurnal Educative: Journal of Educational Studies, 9(2), 104–119. https://doi.org/10.30983/educative.v9i2.8686

Fatah Ansori, R., & Wit Daryono, R. (2024). Exploring the Influence of Organizational Culture and Interpersonal Communication on Teacher Performance Through Self-Competency Mediation . Jurnal Educative: Journal of Educational Studies, 9(2), 120–137. https://doi.org/10.30983/educative.v9i2.8674

Sandy, W. E., Fakhruddin, A., & Parhan, M. (2024). The Implementation of Cooperative Learning Method: Revitalizing the Learning Process of Islamic Religious Eduation . Jurnal Educative: Journal of Educational Studies, 9(2), 138–149. https://doi.org/10.30983/educative.v9i2.8677

Devinta Ahmanda, W., & Wit Daryono, R. (2024). The Influence of Academic Supervision and Professional Competence on Teacher Performance Through Work Commitment : ENGLISH. Jurnal Educative: Journal of Educational Studies, 9(2), 138–156. https://doi.org/10.30983/educative.v9i2.8658

Nujhati, K., & Nurkamto, J. (2024). Traditional Gender Stereotypes: A Critical Analysis of Visual Representation in Indonesian Senior High School EFL Textbooks . Jurnal Educative: Journal of Educational Studies, 9(2), 169–181. https://doi.org/10.30983/educative.v9i2.8852

Islamia, I., & Rahman Arif, A. (2024). Assessing Digital Literacy Skills among Indonesian University Students in the Age of Society 5.0. Jurnal Educative: Journal of Educational Studies, 9(2), 182–194. https://doi.org/10.30983/educative.v9i2.8678

Astuti, W. P., Susilana, R., & Johan, R. C. (2024). Comparative Analysis of Agriculture Curriculum with Agronomy Concentration in Vocational High Schools in Germany and Indonesia. Jurnal Educative: Journal of Educational Studies, 9(2), 195–213. https://doi.org/10.30983/educative.v9i2.9086

Musa, M., Taridi, M., Kholil, A., Wahyudi, F., & Kiswanto, H. (2024). The Role of Islamic Education in Raising Legal Awareness About Online Gambling in Jambi Province. Jurnal Educative: Journal of Educational Studies, 9(1), 01–13. https://doi.org/10.30983/educative.v9i1.8462

Artika, F. S., & Fitriani, S. (2024). Perceptions of the English Language Intensive Course for Overseas Students’ Program Toward Vocabulary Learning Strategies. Jurnal Educative: Journal of Educational Studies, 9(1), 14–24. https://doi.org/10.30983/educative.v9i1.8553

Hayati, S. N., & Sumiati. (2024). Empowered Students in Era 5.0 Through Digital Preneurship . Jurnal Educative: Journal of Educational Studies, 9(1), 25–34. https://doi.org/10.30983/educative.v9i1.8515

Indriani, A., Taridi, M., Angraini, P., M, I., & Ningsih, R. (2024). Elderly School and Family Resilience: A Case Study of the BKKBN Program in Jambi Province. Jurnal Educative: Journal of Educational Studies, 9(1), 35–44. https://doi.org/10.30983/educative.v9i1.8532

Hadi, A., Nurbaiti, A. T., & Aryani, E. (2024). The effectiveness of Photovoice in increasing Self-Esteem and the Career Maturity of Vocational School Students. Jurnal Educative: Journal of Educational Studies, 9(1), 45–55. https://doi.org/10.30983/educative.v9i1.8539

Trisnawati, R., Kompri , K., Isnanto, D., & Wenny Asriani, R. (2024). Enhancing Brand Awareness in Private Islamic Universities: The Peso Model in Jambi Province. Jurnal Educative: Journal of Educational Studies, 9(1), 56–69. https://doi.org/10.30983/educative.v9i1.8502

Hamonangan, D., Salminawati, S., Usiono, U., & Rusdi, M. (2024). The Issue of Islamic Education Politics in Realizing Muslim Identity in Modern Islamic Boarding School. Jurnal Educative: Journal of Educational Studies, 9(1), 70–82. https://doi.org/10.30983/educative.v9i1.8573

Lidvina Pasu, M., Yuliana Pasu, M., Gelu, A., & Mahendra Dinatha, N. (2024). The Development of Environment-Based Audio-Visual Teaching Materials in Science and Social Learning. Jurnal Educative: Journal of Educational Studies, 9(1), 83–91. https://doi.org/10.30983/educative.v9i1.8694

Sugilar, H., Mangkuwibawa, H., & Yudhiantara, R. A. (2023). Computer Technology-Based MBKM to Develop Mathematics Education Students Metacognition and Metaskill Perspective. Jurnal Educative: Journal of Educational Studies, 8(2), 106–116. https://doi.org/10.30983/educative.v8i2.6659

Eseadi, C. (2023). Practice Guidelines for Assisting Students with Visual Impairments. Jurnal Educative: Journal of Educational Studies, 8(2), 117–132. https://doi.org/10.30983/educative.v8i2.7286

Mustopa, A., & Susanti, S. S. (2023). Integral and Anti-Corruption Generation: The Implementation of A Model of Citizenship for Social Projects Based on Religion and School Culture. Jurnal Educative: Journal of Educational Studies, 8(2), 133–146. https://doi.org/10.30983/educative.v8i2.7270

Sodikin, R. A., & Hikmawan, R. (2023). Analysis of Gamification in Cybersecurity Education for Students: A Systematic Literature Review. Jurnal Educative: Journal of Educational Studies, 8(2), 147–166. https://doi.org/10.30983/educative.v8i2.7513

Baskara, F. R. (2024). ChatGPT and Personalised Learning: Reshaping Pedagogical Approaches in the VUCA Age. Jurnal Educative: Journal of Educational Studies, 8(2), 167–184. https://doi.org/10.30983/educative.v8i2.7620

Ramdhani, N. A. (2023). Anti-Corruption Education in an Indonesian Government-Affiliated Academy: Graduates’ Perspectives on How Education Influenced their Behaviour in their Workplace. Jurnal Educative: Journal of Educational Studies, 8(2), 185–200. https://doi.org/10.30983/educative.v8i2.7357

Downloads

Published

2025-11-10

How to Cite

Medika, G. H., Sy, S., Muhafzan, & Zulfaneti. (2025). The Rainbow Connection Number of Snail Graphs. BiCED Proceeding, 3(1), 1–6. https://doi.org/10.30983/biced.v3i1.824

Issue

Vol. 3 No. 1 (2025): Bukittinggi International Conference On Education (BiCED) Proceeding

Section

Articles

License

Copyright (c) 2025 BiCED Proceeding

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.