“School of Mathematics”
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Paper IPM / M / 15333  


Abstract:  
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 non−trivial common divisor. We determine all graphs with five vertices that may occur as (G) for non−solvable group G. Along with previously known results on character degree graph, we determine all graphs (G)associated with non−solvable group G
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