A characterization of diameter-2-critical graphs with no antihole of length four
โ Scribed by Teresa W. Haynes; Michael A. Henning
- Book ID
- 115063567
- Publisher
- SP Versita
- Year
- 2012
- Tongue
- English
- Weight
- 936 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1895-1074
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper it is shown that any 4-connected graph that does not contain a minor isomorphic to the cube is a minor of the line graph of V n for some n 6 or a minor of one of five graphs. Moreover, there exists a unique 5-connected graph on at least 8 vertices with no cube minor and a unique 4-conn
We give a characterization of a hierarchy of graph classes with no long holes in which each class excludes some long antiholes. At one end of the hierarchy is the class of graphs with no long holes. At the other end is the class of weakly triangulated graphs. The characterization has the flavor of t