Posets and VPG Graphs

Elad Cohen, Martin Charles Golumbic, William T. Trotter, Ruidong Wang

Research output: Contribution to journalArticlepeer-review


We investigate the class of intersection graphs of paths on a grid (VPG graphs), and specifically the relationship between the bending number of a cocomparability graph and the poset dimension of its complement. We show that the bending number of a cocomparability graph G is at most the poset dimension of the complement of G minus one. Then, via Ramsey type arguments, we show our upper bound is best possible.

Original languageEnglish
Pages (from-to)39-49
Number of pages11
Issue number1
StatePublished - 1 Mar 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer Science+Business Media Dordrecht.


  • Bending number
  • Cocomparability graph
  • Dimension
  • Poset
  • Product Ramsey theorem

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology
  • Computational Theory and Mathematics


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