|
Organizers |
Infinite Primitive Planar Graphs
by
Mark E. Watkins
Syracuse University
An easily verifiable necessary and sufficient condition for an infinite, locally finite, planar graph is given in order for its automorphism group to act primitively on its vertex set. The condition is very restrictive, and so much of the proof consists of showing that huge classes of infinite planar graphs are indeed imprimitive. To this end, a wide variety of proof techniques are employed.
Date received: November 9, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafp-09.