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Jusrry Rosalina Pahnael
Universitas Nusa Cendana
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Journal : Jurnal Matematika UNAND

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ZONAL LABELING OF VERTEX COMB PRODUCT OF GRAPHS Amruddin, Mustaqim; Haning, Farly Oktriany; Putra, Ganesha Lapenangga; Pahnael, Jusrry Rosalina
Jurnal Matematika UNAND Vol. 14 No. 3 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.3.225-231.2025

Abstract

Suppose there is a connected plane graph G with a set of vertex V (G) and a set of edges E(G) or G = (V,E). A zonal labeling of graph G is vertex labeling with the two nonzero elements of ring Z3 to vertex in graph G such that the sum of the label of the vertices on the boundary of every region of G is the zero elements in Z3. This labeling is zonal and graph G is zonal graph. This paper will discuss zonal labeling on a graph comb product with a graph zonal denoted G. The result states that Fy ⊵o G, T ⊵o G, U ⊵o G a is graph zonal and Wz ⊵o G is not a zonal graph.
Co-Authors Amruddin, Mustaqim Astika , Salome Ratnasari Boysala, Marsella Oktavia Damai Kusumaningrum Elisabeth E. Wutun Elo, Alfrian Welhelmus Dida Esther Y Bunga Farly Oktriany Haning Ganesha L Putra Gita N.A. Ginting Irvandi Gorby Pasangka Keristina Br. Ginting Li, Marlin Hamu Maria Agustina Kleden MARIA LOBO Mbau, Jefri Suprian Jes Meksianis Z. Ndii Miranda, Revaya Nafi, Sulche Ifone Nitte, Yulsy Marselina Robertus Dole Guntur Safira, Rosalia Septory, Brian Juned Ute, Petronela Stefina Wonder Wadu, Mira Yoseph Sugi Zacharya, Samy Putra