Title
t-Perfection Is Always Strong for Claw-Free Graphs
Abstract
A connected graph G is called t-perfect if its stable set polytope is determined by the nonnegativity, edge, and odd-cycle inequalities. Moreover, G is called strongly t-perfect if this system is totally dual integral. It is an open problem whether t-perfection is equivalent to strong t-perfection. We prove the equivalence for the class of claw-free graphs.
Year
DOI
Venue
2010
10.1137/090769508
SIAM JOURNAL ON DISCRETE MATHEMATICS
Keywords
Field
DocType
t-perfect,claw-free,totally dual integral
Claw,Discrete mathematics,Combinatorics,Open problem,Claw-free graph,Polytope,Equivalence (measure theory),Independent set,Equivalence class,Connectivity,Mathematics
Journal
Volume
Issue
ISSN
24
3
0895-4801
Citations 
PageRank 
References 
2
0.36
6
Authors
2
Name
Order
Citations
PageRank
henning bruhn117724.93
maya stein28115.65