论文标题

在图形家族中出现的主要角色度图

On prime character degree graphs occurring within a family of graphs

论文作者

Laubacher, Jacob, Medwid, Mark

论文摘要

在本文中,我们研究了连接图的家庭,这些家族在补充中不包含奇数周期。具体而言,我们考虑以特定方式连接的两个完整图形形成的图。我们确定这些图中的哪个可以或作为可溶剂组的素数度图可以或不能出现。也可以考虑明显的扩展和概括,我们提及。

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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