Document Type
Article
Article Version
Publisher's PDF
Publication Date
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.
Publication Title
Fixed Point Theory and Applications
Repository Citation
Bernhardt, Chris, "Vertex maps on graphs-trace theorems" (2011). Mathematics Faculty Publications. 22.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/22
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
Peer Reviewed
COinS
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