On Equitable Coloring of Book Graph Families

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Hanna Furmańczyk EQUITABLE COLORING OF GRAPH PRODUCTS

A graph is equitably k-colorable if its vertices can be partitioned into k independent sets in such a way that the number of vertices in any two sets differ by at most one. The smallest k for which such a coloring exists is known as the equitable chromatic number of G and denoted by χ=(G). It is interesting to note that if a graph G is equitably k-colorable, it does not imply that it is equitab...

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Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths

1 Department of Mathematics, University College of Engineering Nagercoil, Anna University of Technology Tirunelveli (Nagercoil Campus), Nagercoil 629 004, Tamil Nadu, India 2 Department of Mathematics, R.V.S College of Engineering and Technology, Coimbatore 641 402, Tamil Nadu, India 3 Department of Mathematics, Sri Shakthi Institute of Engineering and Technology, Coimbatore 641 062, Tamil Nadu...

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An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most 1. A d-degenerate graph is a graph G in which every subgraph has a vertex with degree at most d. A star Sm with m rays is an example of a 1-degenerate graph with maximum degree m that needs at least 1 + m/2 colors for an equitable coloring. Our main result is that every n-...

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ژورنال

عنوان ژورنال: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

سال: 2020

ISSN: 1303-5991

DOI: 10.31801/cfsuasmas.769094