# Classifying families of character degree graphs of solvable groups

Document Type : Research Paper

Authors

1 Western Governors University

2 St. Norbert College

Abstract

‎We investigate prime character degree graphs of solvable groups‎. ‎In particular‎, ‎we consider a family of graphs $\Gamma_{k,t}$ constructed by adjoining edges between two complete graphs in a one-to-one fashion‎. ‎In this paper we determine completely which graphs $\Gamma_{k,t}$ occur as the prime character degree graph of a solvable group‎.

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