Journal of East China Normal University(Natural Sc ›› 2013, Vol. 2013 ›› Issue (1): 1-6.

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Sufficient and necessary condition for the chromatic equivalence of a class of graphs

MA Hai-cheng 1,2, LI Sheng-gang 1   

  1. 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China;
    2. Department of Mathematics, Qinghai University for Nationalities, Xining 810007, China
  • Received:2012-03-01 Revised:2012-06-01 Online:2013-01-25 Published:2013-01-18

Abstract: A necessary and sufficient condition for the adjoint equivalence of two graphs with the adjoint minimum real root at least $-$4 was given. Based on this result, a necessary and sufficient condition of the chromatic equivalence for the complement graphs of these graphs can be naturally obtained.

Key words: chromatic polynomial, adjoint polynomial, chromatic equivalence, adjoint equivalence

CLC Number: