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Stability number of bull- and chair-free graphs

✍ Scribed by Caterina De Simone; Antonio Sassano


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
333 KB
Volume
41
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


Structure and stability number of chair-
✍ Andreas BrandstΓ€dt; HoΓ ng-Oanh Le; Jean-Marie Vanherpe πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 110 KB

The P 4 is the induced path with vertices a, b, c, d and edges ab, bc, cd. The chair (co-P, gem) has a fifth vertex adjacent to b (a and b, a, b, c and d, respectively). We give a complete structure description of prime chair-, co-P-and gem-free graphs which implies bounded clique width for this gra

On the structure and stability number of
✍ Andreas BrandstΓ€dt; Raffaele Mosca πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 336 KB

We give a O(nm) time algorithm for the maximum weight stable set (MWS) problem on P5-and co-chair-free graphs without recognizing whether the (arbitrary) input graph is P5and co-chair-free. This algorithm is based on the fact that prime P5-and co-chair-free graphs containing 2K2 are matched co-bipar

On the stability number of AH-free graph
✍ A. Hertz; D. de Werra πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 519 KB

## Abstract We describe a new class of graphs for which the stability number can be obtained in polynomial time. The algorithm is based on an iterative procedure that, at each step, builds from a graph __G__ a new graph __G^l^__ that has fewer nodes and has the property that Ξ±(__G^l^__) = Ξ±(__G__)

Stability number and [a,b]-factors in gr
✍ Mekkia Kouider; Zbigniew Lonc πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 90 KB

## Abstract A spanning subgraph whose vertices have degrees belonging to the interval [__a,b__], where __a__ and __b__ are positive integers, such that __a__ ≀ __b__, is called an [__a,b__]‐factor. In this paper, we prove sufficient conditions for existence of an [__a,b__]‐factor, a connected [__a,

The stability number and connected -fact
✍ Jiansheng Cai; Guizhen Liu; Jianfeng Hou πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 365 KB

Let G be a graph with vertex set V (G). In this work we present a sufficient condition for the existence of connected [k, k + 1]factors in graphs. The condition involves the stability number and degree conditions of graph G.