A note on bounds for the cop number using tree decompositions

Authors

  • Anthony Bonato
  • Nancy E Clarke
  • Stephen Finbow
  • Shannon Fitzpatrick
  • Margaret-Ellen Messinger

DOI:

https://doi.org/10.11575/cdm.v9i2.62188

Keywords:

Cops and Robbers, cop number, treewidth, retract, tree decomposition

Abstract

In this short note, we supply a new upper bound on the cop number in terms of tree decompositions. Our results in some cases extend a previously derived bound on the cop number using treewidth.


Author Biography

Anthony Bonato

Department of Mathematics, Professor and Chair

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Published

2014-12-30

Issue

Vol. 9 No. 2 (2014)

Section

Articles

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