JOURNAL ARTICLE

E-Total Coloring of Complete Bipartite Graphs

Year: 2024 Journal:   Springer Link (Chiba Institute of Technology)   Publisher: Chiba Institute of Technology

Abstract

\nIn this study, using the method of contradiction and the pre-assignment of chromatic sets, we discuss the E-total coloring of complete bipartite graphs K5,n (5≤n≤7 113) which are vertex-distinguished by multiple sets. The vertex-distinguishing E-total chromatic numbers of this kind of graph are determined. \n

Keywords:
Bipartite graph Edge coloring Graph coloring Brooks' theorem Chromatic scale Graph Total coloring Fractional coloring

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