An analogue of Dirac's theorem on circular super-critical graphs

An analogue of Dirac's theorem on circular super-critical graphs
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圆形超临界图狄拉克定理的类比

DOI:
10.1016/j.ejc.2006.01.012
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发表时间:
2007-05
影响因子:
1
通讯作者:
许宝刚
许宝刚
中科院分区:
数学3区
文献类型:
--
作者:
许宝刚

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A graph G is called circular super-critical if χc(G∖u)<χc(G)−1 for every vertex u of G. In this paper, analogous to a result of Dirac on chromatic critical graphs, a sharp lower bound on the vertex degree of circular super-critical graphs is proved. This lower bound provides a partial answer to a question of X. Zhu [The circular chromatic number of induced subgraphs, J. Combin. Theory Ser. B 92 (2004) 177–181]. Some other structural properties of circular super-critical graphs are also presented.
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