Concept

Claw-free graph

Publications associées (42)

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The stable set polytope of quasi-line graphs

Friedrich Eisenbrand, Gautier Stauffer

It is a long standing open problem to find an explicit description of the stable set polytope of claw-free graphs. Yet more than 20 years after the discovery of a polynomial algorithm for the maximum stable set problem for claw-free graphs, there is even n ...

2008

Graph theory is an important topic in discrete mathematics. It is particularly interesting because it has a wide range of applications. Among the main problems in graph theory, we shall mention the following ones: graph coloring and the Hamiltonian circuit ...

EPFL2008

Variations of split-coloring in permutation graphs

Dominique de Werra, Tinaz Ekim

Combinatorial optimization problems related to permutations have been widely studied. Here, we consider different generalizations of the usual coloring problem in permutation graphs. A cocoloring is a partition of a permutation into increasing and decreasi ...

2006

On the stable set polytope of claw-free graphs

Gautier Stauffer

In this thesis we focus our attention on the stable set polytope of claw-free graphs. This problem has been open for many years and albeit all the efforts engaged during those last three years, it is still open. This does not mean that no progress has been ...

EPFL2005

Circular Ones Matrices and the Stable set Polytopes of Quasi-Line Graphs

Friedrich Eisenbrand, Gautier Stauffer

2005

Mining Co-Change Clusters from Version Repositories

Dirk Thilo Beyer

Clusters of software artifacts that are frequently changed together are subsystem candidates, because one of the main goals of software design is to make changes local. The contribution of this paper is a visualization-based method that supports the identi ...

2005

The Winding Road toward a Characterization of the Stable Set Polytope

Thomas Liebling, Gautier Stauffer

We survey results about the facial structure of the stable set polytope for variants of claw-free graphs. ...

2004

Circular Ones Matrices and the Stable Set Polytope of Quasi-Line Graphs

Friedrich Eisenbrand, Gautier Stauffer

2004

We deal with non-rank facets of the stable set polytope of claw-free graphs. We extend results of Giles and Trotter [7] by (i) showing that for any nonnegative integer a there exists a circulant graph whose stable set polytope has a facet-inducing inequali ...

Springer-Verlag2004

on Non-Rank Facets of the Stable Set Polytope of Claw-Free Graphs and Circulant Graphs

Thomas Liebling, Gautier Stauffer

We deal with non-rank facets of the stable set polytope of claw-free graphs. We extend results of Gilles and Trotter (7) by (i) showing that for any nonnegative integer a there exists a circulant graph whose stable set polytope has a facet-inducing inequal ...

2003