Heryati Nur Fatimah Sari
Hasanuddin University

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r-Chromatic Number On r-Dynamic Vertex Coloring of Comb Graph Heryati Nur Fatimah Sari; Budi Nurwahyu; Jusmawati Massalesse
Jurnal Matematika, Statistika dan Komputasi Vol. 20 No. 2 (2024): JANUARY 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v20i2.32143

Abstract

Let  be a graph with vertex set  and edge set . An r-dynamic vertex coloring of a graph  is a assigning colors to the vertices of  such that for every vertex  receives at least  colors in its neighbors. The minimum color used in r-dynamic vertex coloring of graph  is called the r-dynamic chromatic number denoted as . In this research we well determine the coloring pattern and the r-dynamic chromatic number of the comb graph , central graph of comb graph , middle graph of comb graph , line graph of comb graph , sub-division graf of comb graph , and para-line graph of comb graph Let  be a graph with vertex set  and edge set . An r-dynamic vertex coloring of a graph  is a assigning colors to the vertices of  such that for every vertex  receives at least  colors in its neighbors. The minimum color used in r-dynamic vertex coloring of graph  is called the r-dynamic chromatic number denoted as . In this research we well determine the coloring pattern and the r-dynamic chromatic number of the comb graph , central graph of comb graph , middle graph of comb graph , line graph of comb graph , sub-division graf of comb graph , and para-line graph of comb graph