On the P4-structure of Perfect Graphs. IV. Partner graphs
β Scribed by Ryan B Hayward; William J Lenhart
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 318 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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 We investigate the conjecture that a graph is perfect if it admits a twoβedgeβcoloring such that two edges receive different colors if they are the nonincident edges of a __P__~4~ (chordless path with four vertices). Partial results on this conjecture are given in this paper. Β© 1995 Joh