University of Isfahan International Journal of Group Theory 2251-7650 8 4 2019 12 01 Classifying families of character degree graphs of solvable groups 37 46 23008 10.22108/ijgt.2018.110140.1473 EN Mark W. Bissler Western Governors University Jacob Laubacher St. Norbert College 0000-0003-0045-7951 Journal Article 2018 03 14 ‎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 https://ijgt.ui.ac.ir/article_23008_f4d59d005948621cd6da799f771b59e1.pdf