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We investigate prime character degree graphs of solvable groups that have six vertices. There are one hundred twelve non-isomorphic connected graphs with six vertices, of which all except nine are classified in this paper. We also completely classify the disconnected graphs with six vertices.
character degree graphs, solvable groups
Bissler, Mark W.; Laubacher, Jacob; and Lewis, Mark L., "Classifying Character Degree Graphs With Six Verteces" (2019). Faculty Creative and Scholarly Works. 24.