Pewarnaan Titik Ketakteraturan Lokal Inklusif pada Hasil Operasi Comb Graf Bintang

Let G(V,E) is a simple graph and connected where V(G) is vertex set and E(G) is edge set. An inclusive local irregularity vertex coloring is defined by a mapping l:V(G) í  {1,2,..., k} as vertex labeling and wi : V(G) í  N is function of inclusive local irregularity vertex coloring, with wi(v) = l(v...

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Bibliographic Details
Main Authors: Arika Indah Kristiana, Surya Indriani, Ermita Rizki Albirri
Format: Article
Language:English
Published: Universitas Airlangga 2022-03-01
Series:Contemporary Mathematics and Applications (ConMathA)
Subjects:
Online Access:https://e-journal.unair.ac.id/CONMATHA/article/view/33606
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Summary:Let G(V,E) is a simple graph and connected where V(G) is vertex set and E(G) is edge set. An inclusive local irregularity vertex coloring is defined by a mapping l:V(G) í  {1,2,..., k} as vertex labeling and wi : V(G) í  N is function of inclusive local irregularity vertex coloring, with wi(v) = l(v) + ∑u∈N(v) l(u). In other words, an inclusive local irregularity vertex coloring is to assign a color to the graph with the resulting weight value by adding up the labels of the vertices that are neighbouring to its own label. The minimum number of colors produced from inclusive local irregularity vertex coloring of graph G is called inclusive chromatic number local irregularity, denoted by Xlisi(G). In this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number of comb product on star graph.
ISSN:2686-5564