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All Journal JURNAL AXIOMA : Jurnal Matematika dan Pembelajaran
Ermita Rizki Albirri
Universitas Jember, Indonesia
Education Mathematics

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Bilangan Kromatik Graceful Pada Keluarga Graf Grid Arika Indah Kristiana; Anzori Anzori; Robiatul Adawiyah; Slamin Slamin; Ermita Rizki Albirri
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 8 No. 2 (2023): Juli
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v8i2.1544

Abstract

All graph in this paper be a connected and simple graph. Let c:V(G)→{1,2,…,k} is a proper vertex coloring where k ≥ 2 which induces a proper edge coloring c':E(G)→{1,2,…,k} define by c' (uv)=|c(u)-c(v)|, where uv in E(G) is called graceful k-coloring. A vertex coloring c of graph G is a graceful coloring if c is a graceful k-coloring for some k∈ N. The minimum k for which a graph G is a graceful chromatic number denoted by χ_g (G). In this paper, we will investigate the establish exact value of graceful chromatic number on grid graph family namely H graph 〖(H〗_n) for n≥2 and grid graph for m,n≥3. Keywords: graceful coloring, graceful chromatic number, grid graph family
Co-Authors Arika Indah Kristiana Robiatul Adawiyah Slamin Slamin Tawakal, Anzori