• Title of article

    On equitable near proper coloring of graphs

  • Author/Authors

    Jose ، Sabitha Department of Mathematics - CHRIST (Deemed to be University) , Samuel ، Libin Chacko Department of Mathematics - CHRIST (Deemed to be University) , Naduvath ، Sudev Department of Mathematics - CHRIST (Deemed to be University)

  • From page
    131
  • To page
    143
  • Abstract
    A defective vertex coloring of a graph is a coloring in which some adjacent vertices may have the same color. An edge whose adjacent vertices have the same color is called a bad edge. A defective coloring of a graph $G$ with minimum possible number of bad edges in $G$ is known as a near proper coloring of G.  In this paper, we introduce the notion of equitable near proper coloring of graphs and determine the minimum number of bad edges obtained from an equitable near proper coloring of some graph classes.
  • Keywords
    Improper coloring , equitable coloring , near proper coloring , equitable near proper coloring
  • Journal title
    Communications in Combinatorics and Optimization
  • Journal title
    Communications in Combinatorics and Optimization
  • Record number

    2777638