A Note on Quasi‐triangulated Graphs
✍ Scribed by Gorgos, Ion; Hoàng, Chính T.; Voloshin, Vitaly
- Book ID
- 118198098
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2006
- Tongue
- English
- Weight
- 107 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-4801
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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).
If G is a graph, a k-role assignment is a function mapping each vertex into a role, a positive integer 1; 2; : : : ; k, so that if x and y have the same role, then the sets of roles assigned to their neighbors are the same. A graph is called a triangulated graph if it contains no chord-less cycle of
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