Recognizing sign solvable graphs
β Scribed by Pierre Hansen
- Book ID
- 104182748
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 307 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0166-218X
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## Abstract A graph is called decomposable if its vertices can be colored red and blue in such a way that each color appears on at least one vertex but each vertex v has at most one neighbor having a different color from v. We point out a simple and efficient algorithm for recognizing decomposable
This paper discusses a method for recognizing certain graph classes based on elimination schemes more e ciently. We reduce the time bound for recognizing quasi-triangulated graphs from O(n 3 ) to O(n 2:77 ), and perfect elimination bipartite and cop-win graphs from O(n 3 ) to O(n 3 =log n).
Bouchet, A., Recognizing locally equivalent graphs, Discrete Mathematics 114 (1993) 75-86. To locally complement a simple graph Fat one of its vertices u is to replace the subgraph induced by F on n(o)= {w: w is an edge of F} by the complementary subgraph. Graphs related by a sequence of local comp