Mark Bissler - Western Governors University
Jacob Laubacher - St. Norbert College

‎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.

‎Character degree graphs‎, ‎solvable groups‎, ‎families