English

Explicit representations by halfspaces of the edge cone of a graph

Combinatorics 2011-04-05 v1

Abstract

Let G be an arbitrary simple graph. The main results are explicit representations of the edge cone of G as a finite intersection of closed halfspaces. If G is bipartite and connected we determine the facets of the edge cone and present a canonical irreducible representation.

Keywords

Cite

@article{arxiv.math/0506281,
  title  = {Explicit representations by halfspaces of the edge cone of a graph},
  author = {Carlos E. Valencia and Rafael H. Villarreal},
  journal= {arXiv preprint arXiv:math/0506281},
  year   = {2011}
}