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Paper   IPM / M / 15333
School of Mathematics
  Title:   Five-vertex common divisor character degree graphs of non-solvable groups
  Author(s):  Farideh Shafiei
  Status:   Published
  Journal: Comm. Algebra
  Vol.:  47
  Year:  2019
  Pages:   1005-1022
  Supported by:  IPM
For a nite group G, the common divisor graph Γ(G) is the graph whose vertices are degrees of the ordinary irreducible characters of G, and distinct vertices a, b4 are adjacent when they have a nontrivial common divisor. We determine all graphs with five vertices that may occur as (G) for nonsolvable group G. Along with previously known results on character degree graph, we determine all graphs (G)associated with nonsolvable group G

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