Further Results on Chromatic Number with Complementary Connected Perfect Domination Number of a Graph

Abstract

The concept of Complementary connected perfect domination number was introduced by G.Mahadevan et.alc., in [5]. A subset S of V of a non trivial graph G is said to be complementary connected perfect dominating set if S is a dominating and is connected and has a perfect matching. The minimum cardinality taken over all complementary connected perfect dominating sets in G (CCPD-set) is called the complementary connected perfect domination number of G and is denoted by ccp  . In [6, the authors already characterized the extremal graphs whose sum of complementary connected domination number and chromatic number upto 2n-5. Since the characterization of extremal graphs whose sum of complementary connected domination number and chromatic number equals to 2n-6 for any n > 3

Authors and Affiliations

Mahadevan G, Iravithul Basira A, Sivagnanam C

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  • EP ID EP471473
  • DOI 10.26674/ijesacbt/2017/49170
  • Views 66
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How To Cite

Mahadevan G, Iravithul Basira A, Sivagnanam C (2017). Further Results on Chromatic Number with Complementary Connected Perfect Domination Number of a Graph. International Journal of Engineering Science, Advanced Computing and Bio-Technology, 8(1), 17-23. https://europub.co.uk/articles/-A-471473