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On the linear relaxation of the 2-node connected subgraph polytope

Mahjoub, Ali Ridha; Nocq, Charles (1999), On the linear relaxation of the 2-node connected subgraph polytope, Discrete Applied Mathematics, 95, 1-3, p. 389-416. http://dx.doi.org/10.1016/S0166-218X(99)00088-8

Type
Article accepté pour publication ou publié
Date
1999
Journal name
Discrete Applied Mathematics
Volume
95
Number
1-3
Publisher
Elsevier
Pages
389-416
Publication identifier
http://dx.doi.org/10.1016/S0166-218X(99)00088-8
Metadata
Show full item record
Author(s)
Mahjoub, Ali Ridha
Nocq, Charles
Abstract (EN)
In this paper, we study the linear relaxation P(G) of the 2-node connected subgraph polytope of a graph G. We introduce an ordering on the fractional extreme points of P(G) and we give a characterization of the minimal extreme points with respect to that ordering. This yields a polynomial method to separate a minimal extreme point of P(G) from the 2-node connected subgraph polytope. It also provides a new class of facet defining inequalities for this polytope.
Subjects / Keywords
Cut; Polytopes; Critical extreme point; 2-node connected graph

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