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arXiv · 2008.11587

On prime character degree graphs occurring within a family of graphs

Jacob Laubacher·Mark Medwid
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Abstract

In this paper we investigate families of connected graphs which do not contain an odd cycle in their complement. Specifically, we consider graphs formed by two complete graphs connected in a particular way. We determine which of these graphs can or cannot occur as the prime character degree graph of a solvable group. An obvious expansion and generalization can also be considered, of which we make mention.

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Jacob Laubacher, Mark Medwid. 2020-08-26. On prime character degree graphs occurring within a family of graphs. https://arxiv.org/abs/2008.11587

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