Prime graph

This article is about graphs defined from finite groups. For other uses, see Glossary of graph theory ยง prime.

In the mathematics of graph theory and finite groups, a prime graph is an undirected graph defined from a group. These graphs were introduced in a 1981 paper by J. S. Williams, credited to unpublished work from 1975 by Karl W. Gruenberg and Otto H. Kegel.

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