On the order of elimination of unknowns
β Scribed by V.V. Voevodin
- Publisher
- Elsevier Science
- Year
- 1966
- Weight
- 230 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0041-5553
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We consider the class of graphs where every induced subgraph possesses a vertex whose neighborhood has no P4 and no 2K2. We prove that Berge's Strong Perfect Graph Conjecture holds for such graphs. The class generalizes several well-known families of perfect graphs, such as triangulated graphs and b
Let G = (V,E) be a finite undirected connected graph. We show that there is a common perfect elimination ordering of all powers of G which represent chordal graphs. Consequently, if G and all of its powers are chordal then all these graphs admit a common perfect elimination ordering. Such an orderin