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The Study of the Number of 2-Matchings in Graphs

Author Affiliations

  • 1Department of mathematics, College of Basic Sciences, Hendijan Branch, Islamic Azad University, Hendijan, IRAN
  • 2Department of Mathematics, College of Basic Sciences, Shahinshar Branch, Islamic Azad University, Shahinshahr, IRAN

Res. J. Recent Sci., Volume 4, Issue (6), Pages 142-143, June,2 (2015)

Abstract

In this paper we study the 2-matching of finite groups. We use conjugation and character of groups to calculate the number of 2-matchings for some import groups and using them we prove that a finite group G is abelian if and only if the number of its 2-matching is zero.

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