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Locally finite, planar, edge-transitive graphs

About this Title

Jack E. Graver and Mark E. Watkins

Publication: Memoirs of the American Mathematical Society
Publication Year 1997: Volume 126, Number 601
ISBNs: 978-0-8218-0556-5 (print); 978-1-4704-0186-3 (online)
MathSciNet review: 1361828
MSC: Primary 05-02; Secondary 05C25, 05C38

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Table of Contents


  • 1. Introduction
  • 2. Preliminaries
  • 3. Stabilizers
  • 4. Petrie walks
  • 5. Ends-separating circuits
  • 6. Plane graphs of circuit type
  • 7. Construction of plane graphs of mixed type
  • 8. Deconstruction of plane graphs of mixed type
  • 9. Ordinary graphs of mixed type
  • 10. Extraordinary graphs of line type
  • 11. Extraordinary graphs of mixed type
  • 12. Conclusions, conjectures and open questions
  • Appendix A. Proof of Theorem 3.5
  • Appendix B. Proof of Theorem 4.2