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All Journal Jurnal Pendidikan Matematika Universitas Lampung Indonesian Journal of Combinatorics Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Journal Social Science And Technology For Community Service Buguh: Jurnal Pengabdian Kepada Masyarakat Jurnal Siger Matematika IJCOSIN : Indonesian Journal of Community Service and Innovation
Dina Eka Nurvazly
Universitas Lampung
Agriculture, Biological Sciences & Forestry Humanities Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Environmental Science Health Professions Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Journal : Indonesian Journal of Combinatorics

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The oriented chromatic number of edge-amalgamation of cycle graph Dina Eka Nurvazly; Jona Martinus Manulang; Kiki A. Sugeng
Indonesian Journal of Combinatorics Vol 3, No 1 (2019)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (332.422 KB) | DOI: 10.19184/ijc.2019.3.1.5

Abstract

An oriented k − coloring of an oriented graph G⃗ is a partition of V(G⃗) into k color classes such that no two adjacent vertices belong to the same color class, and all the arcs linking the two color classes have the same direction. The oriented chromatic number of an oriented graph G⃗ is the minimum order of an oriented graph H⃗ to which G⃗ admits a homomorphism to H⃗. The oriented chromatic number of an undirected graph G is the maximum oriented chromatic number of all possible orientations of the graph G. In this paper, we show that every edge amalgamation of cycle graphs, which also known as a book graph, has oriented chromatic number less than or equal to six.
Co-Authors . Wamiliana Aang Nuryaman Ahmad Faisol Bidari Tasya Salsabila Devi Nur Anisa Dewi Asiah Shofiana Eri Setiawan Gamilla Nuri Utami Haninda Bharata Humairoh Ratu Ayu Jona Martinus Manulang Kiki A. Sugeng Lisa Adelia Muslim Ansori Nabilla Yolanda Paramitha Nusyirwan Pandri Ferdias Rini Asnawati Siti Laelatul Chasanah Siti Laelatul Chasanah YOHANA TRI UTAMI, YOHANA TRI