Dense critical and vertex-critical graphs
β Scribed by Tommy R. Jensen
- Book ID
- 108315750
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 272 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Brown, J.I., A vertical critical graph without critical edges, Discrete Mathematics 102 (1992) 99-101. A vertex k-critical graph is a k-chromatic graph with the property that the removal of any vertex leaves a (k -1)-colourable graph. A critical edge in a graph is an edge whose deletion lowers the c
## Abstract We prove that the minimum number of edges in a vertexβdiameterβ2βcritical graph on __n__ββ₯β23 vertices is (5__n__βββ17)/2 if __n__ is odd, and is (5__n__/2)βββ7 if __n__ is even. Β© 2005 Wiley Periodicals, Inc. J Graph Theory