Browsing by Author "Barani, M."

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    On equitable coloring of book graph families
    (Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Barani, M.; M., Venkatachalam; Rajalakshmi, K.; Other; Other
    A proper vertex coloring of a graph is equitable if the sizes of color classes differ by atmost one. The notion of equitable coloring was introduced by Meyer in 1973. A proper h − colorable graph K is said to be equitably h-colorable if the vertex sets of K can be partioned into h independent color classes V 1 , V 2 , . . . , V h such that the condition ∣ ∣ | V i | − ∣ ∣ V j ∣ ∣ ∣ ∣ ≤ 1 holds for all different pairs of i and j and the least integer h is known as equitable chromatic number of K . In this paper, we find the equitable coloring of book graph, middle, line and central graphs of book graph.