Please use this identifier to cite or link to this item: https://repository.unej.ac.id/xmlui/handle/123456789/116593
Title: Pewarnaan Sisi Ketakteraturan Lokal Refleksif pada Keluarga Graf Planar
Authors: MUTTAQI, Nuwaila Izzatul
ADAWIYAH, Robiatul
DAFIK, Dafik
Keywords: Local vertex irregular reflexive coloring
local reflexive vertex color strength
family of ladder graph
Issue Date: 2022
Publisher: Journal of Mathematics and Applications
Abstract: Let a simple and connected graph G = (V, E) with the vertex set V (G) and the edge set E(G). If there is a mapping f: V (G) → 0, 2, . . . , 2kv and f: E(G) → 1, 2, . . . , ke as a function of vertex and edge irregularities labeling with k = max 2kv, ke for kv and ke natural numbers and the associated weight of vertex u, v ∈ V (G) under f is w(u) = f(u) + P u,v∈E(G) f(uv). Then the function f is called a local vertex irregular reflexive labeling if every adjacent vertices has distinct vertex weight. When each vertex of graph G is colored with a vertex weight w(u, v), then graph G is said to have a local vertex irregular reflexive coloring. Minimum number of vertex weight is needed to color the vertices in graf G such that any adjacent vertices are not have the same color is called a local vertex irregular reflexive chromatic number, denoted by χ(lrvs)(G). The minimum k required such that χ(lrvs)(G) = χ(G) where χ(G) is chromatic number of proper coloring on G is called local reflexive vertex color strength, denoted by lrvcs(G). In this paper, we will examine the local reflexive vertex color strength of local vertex irregular reflexive coloring on the family of ladder graph.
URI: https://repository.unej.ac.id/xmlui/handle/123456789/116593
Appears in Collections:LSP-Jurnal Ilmiah Dosen

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