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Mark Watkins (Syracuse)

A Characterization of Infinite Planar Imprimitive Graphs

Abstract for the Colloquium 2005 February 3

The automorphism group of an infinite, locally finite, planar graph acts primitively on its vertex set if and only if the graph has connectivity 1 and, for some integer m ≥ 2, every vertex is incident with exactly m lobes, all of which are finite. Specifically, either all of the lobes are isomorphic to K4 or all are circuits of length p for some odd prime p.

seminars/comb/abstract.200502wat.txt · Last modified: 2020/01/29 14:03 (external edit)