Let D be an oriented graph of order n β₯ 9, minimum degree at least n -2, such that, for the choice of distinct vertices x and y, . Graph Theory 18 (1994), 461-468) proved that D is pancyclic. In this note, we give a short proof, based on Song's result, that D is, in fact, vertex pancyclic. This also
A note on -vertex critical graphs
β Scribed by Rad, Nader Jafari
- Book ID
- 120608782
- Publisher
- Informa UK (Taylor & Francis)
- Year
- 2009
- Tongue
- English
- Weight
- 171 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0972-0529
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 Let __G__ be connected simple graph with diameter __d__(__G__). __G__ is said __v__^+^βcritical if __d__(__G__β__v__) is greater than __d__(__G__) for every vertex __v__ of __G__. Let Dβ² = max {__d__(__G__β__v__) : __v__ β __V__(__G__)}. Boals et al. [Congressus Numerantium 72 (1990), 1