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Article
Vertex maps on graphs-trace theorems
Fixed Point Theory and Applications
  • Chris Bernhardt, Fairfield University
Document Type
Article
Article Version
Publisher's PDF
Publication Date
1-1-2011
Abstract

The paper proves two theorems concerning the traces of Oriented Markov Matrices of vertex maps on graphs. These are then used to give a Sharkoksky-type result for maps that are homotopic to the identity and that flip at least one edge.

Comments

© 2011 Bernhardt; licensee Springer.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2011/1/8

Published Citation
Bernhardt, Chris. (2011). Vertex maps on graphs-trace theorems. Fixed Point Theory and Applications - A SpringerOpen Journal 2011:8
DOI
10.1186/1687-1812-2011-8
None
Peer Reviewed
Citation Information
Chris Bernhardt. "Vertex maps on graphs-trace theorems" Fixed Point Theory and Applications Vol. 2011 Iss. 8 (2011)
Available at: http://works.bepress.com/chris_bernhardt/4/