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A note on -vertex critical graphs

✍ 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

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πŸ“œ SIMILAR VOLUMES


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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

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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

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## Abstract Let __G__ be connected simple graph with diameter __d__(__G__). __G__ is said __v__^+^‐critical if __d__(__G__βˆ’__v__) is greater than __d__(__G__) for every vertex __v__ of __G__. Let Dβ€² = max {__d__(__G__βˆ’__v__) : __v__ ∈ __V__(__G__)}. Boals et al. [Congressus Numerantium 72 (1990), 1