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» Extremal Stable Graphs
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DAM
2006
47views more  DAM 2006»
13 years 8 months ago
Trees of extremal connectivity index
The connectivity index w(G) of a graph G is the sum of the weights (d(u)d(v)) of all edges uv of G, where is a real number ( = 0), and d(u) denotes the degree of the vertex u. Le...
Huiqing Liu, Mei Lu, Feng Tian
4OR
2005
71views more  4OR 2005»
13 years 8 months ago
On rank-perfect subclasses of near-bipartite graphs
Shepherd (1995) proved that the stable set polytopes of near-bipartite graphs are given by constraints associated with the complete join of antiwebs only. For antiwebs, the facet s...
Annegret Wagler
MP
2006
81views more  MP 2006»
13 years 8 months ago
Almost all webs are not rank-perfect
Graphs with circular symmetry, called webs, are relevant w.r.t. describing the stable set polytopes of two larger graph classes, quasi-line graphs [8,12] and claw-free graphs [7,8]...
Arnaud Pêcher, Annegret Wagler
DM
2008
82views more  DM 2008»
13 years 8 months ago
Problems and results in extremal combinatorics - II
Extremal Combinatorics is one of the central areas in Discrete Mathematics. It deals with problems that are often motivated by questions arising in other areas, including Theoreti...
Noga Alon
MP
2002
48views more  MP 2002»
13 years 8 months ago
Maximum stable set formulations and heuristics based on continuous optimization
The stability number (G) for a given graph G is the size of a maximum stable set in G. The Lov
Samuel Burer, Renato D. C. Monteiro, Yin Zhang