Journal of Applied Mathematics & Bioinformatics

Some Characterization Results On Character Graphs of Groups

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• Abstract

  The authors in their work in [4] introduced a graph Γ(G,H), where G is a finite group and H is a subgroup of G such that the set of irreducible complex characters of G form the vertex set and two vertices χ and ψ are joined by an edge if their restriction to H, namely χ_Η and ψ_Η have at least one irreducible character of H as a common constituent. In [8] M. Javarsineh and Ali Iranmanesh have studied the nature of this graph for the groups D_2n , U_6n and T_4n . In this paper we study characterization properties of the graph Γ(G,H) and obtain various results relevant to this graph. This paper deals with several ideas and techniques used in representation theory and graph theory.