Vertex maps on graphs-trace theorems

Chris Bernhardt

doi:10.1186/1687-1812-2011-8

Vertex maps on graphs-trace theorems

Chris Bernhardt

Fairfield University

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Fixed Point Theory and Applications
Volume	2011
DOIs	https://doi.org/10.1186/1687-1812-2011-8
State	Published - Jan 1 2011

Keywords

Graphs
Vertex maps
Periodic orbits
Sharkovsky's theorem
Trace

Disciplines

Computer Sciences
Physical Sciences and Mathematics

Access to Document

10.1186/1687-1812-2011-8License: CC BY

Vertex maps on graphs-trace theoremsFinal published version, 268 KBLicense: CC BY

http://www.fixedpointtheoryandapplications.com/content/2011/1/8

Cite this

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title = "Vertex maps on graphs-trace theorems",

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.",

keywords = "Graphs, Vertex maps, Periodic orbits, Sharkovsky's theorem, Trace",

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year = "2011",

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doi = "10.1186/1687-1812-2011-8",

language = "American English",

volume = "2011",

journal = "Fixed Point Theory and Applications",

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N2 - 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.

AB - 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.

KW - Graphs

KW - Vertex maps

KW - Periodic orbits

KW - Sharkovsky's theorem

KW - Trace

UR - https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/22

U2 - 10.1186/1687-1812-2011-8

DO - 10.1186/1687-1812-2011-8

M3 - Article

VL - 2011

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

ER -

Vertex maps on graphs-trace theorems

Abstract

Keywords

Disciplines

Access to Document

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Cite this