Vertex maps on graphs-trace theorems
Fairfield University, Fairfield, CT 06824, USA
Fixed Point Theory and Applications 2011, 2011:8 doi:10.1186/1687-1812-2011-8Published: 23 June 2011
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.
2000 Mathematics Subject Classification