Perfect graphs with unique P4-structure
β Scribed by Stefan Hougardy
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 635 KB
- Volume
- 165-166
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
We will extend Reed's Semi-Strong Perfect Graph Theorem by proving that unbreakable c'ifree graphs different from a Ce and its complement have unique Ph-structure.
π SIMILAR VOLUMES
Given a graph G we define its k-overlap graph as the graph whose vertices are the induced P 4 's of G and two vertices in the overlap graph are adjacent if the corresponding P 4 's in G have exactly k vertices in common. For k=1, 2, 3 we prove that if the k-overlap graph of G is bipartite then G is
## Abstract Let __ex__ \* (__D__; __H__) denote the maximum number of edges in a connected graph with maximum degree __D__ and no induced subgraph isomorphic to __H.__ We prove that this is finite only when __H__ is a disjoint union of paths,m in which case we provide crude upper and lower bounds.