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Pancyclism of 3-domination-critical graphs with small minimum degree
Shiu, W. C. ; Zhang, L. Z. ; Zhang LZ(张莲珠)
2008-03
关键词DOMINATION-CRITICAL GRAPHS HAMILTONICITY INDEPENDENCE
英文摘要A graph G is 3-domination-critical if its domination number gamma is 3 and the addition of any edge decreases gamma by 1. Let G be a connected 3-domination-critical graph of order n. Shao etc. proved that if delta(G) >= 3 then G is pancyclic, i.e. G contains cycles of each length k, 3 <= k <= n. In this paper, we prove that the number of 2-vertices in G is at most 3. Using this result, we prove that the graph G-V-1 is pancyclic, where V, is the set of all 1-vertices in G, except G is isomorphic to the graph of order 7 well-defined in the context.
语种英语
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/66373]  
专题数学科学-已发表论文
推荐引用方式
GB/T 7714
Shiu, W. C.,Zhang, L. Z.,Zhang LZ. Pancyclism of 3-domination-critical graphs with small minimum degree[J],2008.
APA Shiu, W. C.,Zhang, L. Z.,&张莲珠.(2008).Pancyclism of 3-domination-critical graphs with small minimum degree..
MLA Shiu, W. C.,et al."Pancyclism of 3-domination-critical graphs with small minimum degree".(2008).
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