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All Journal Lambda: Jurnal Ilmiah Pendidikan MIPA dan Aplikasinya
Jessy Arnelia
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Agriculture, Biological Sciences & Forestry Education Mathematics Physics Public Health Other

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Optimasi Rute Distribusi Layanan Vaksin Kabupaten pada Graf Lengkap Berindeks K_8^2 Jessy Arnelia; Alfi Maulani
Lambda: Jurnal Ilmiah Pendidikan MIPA dan Aplikasinya Vol. 6 No. 1 (2026): April
Publisher : Lembaga Bale Literasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58218/lambda.v6i1.1950

Abstract

Graph is a discrete mathematical representation widely used to model connectivity in various fields. This study discusses the application of Hamiltonian concepts on the complete bipartite graph K_8^2 as a model for vaccine service route planning at the local level (district). The graph K_8^2 represents eight health facilities in a region, where each facility consists of seven service locations and one other supporting facility. The research method includes constructing a complete bipartite graph, identifying vertices and circuits, and tracing Hamiltonian paths to visualize routes that connect each vertex once in a closed journey. The results show that the K_8^2 graph is effective for designing vaccine distribution routes that systematically and efficiently connect all facilities across eight districts. The complete bipartite graph with Hamiltonian properties proves applicable as a model for public service route planning, with potential implementation in optimizing health logistics distribution, facility inspection, and emergency response for vaccination services at the local level.
Co-Authors Alfi Maulani