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枣庄师专数学系,山东,枣庄,277160
Published:2003
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[1]王兵.连通、几乎局部连通、强K_(1,p)—约束图的完全圈可扩[J].新疆大学学报(自然科学版),2003(03):239-241+245.
王兵. 连通、几乎局部连通、强K1,p—约束图的完全圈可扩[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2003, (3).
[1]王兵.连通、几乎局部连通、强K_(1,p)—约束图的完全圈可扩[J].新疆大学学报(自然科学版),2003(03):239-241+245. DOI:
王兵. 连通、几乎局部连通、强K1,p—约束图的完全圈可扩[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2003, (3). DOI:
借助于新的连通性——几乎局部连通的定义
证明了连通、几乎局部连通、强K1
p—约束图
完全圈可扩.这一结果涵盖了滕延燕及尤海在拟无爪图上的相应结果.
In this paper
based on the definition of almost local connectedness
the author proves that every connected
almost locally connected strong \$K\-\{1
p\}\$controlled graph has at least three vertices which are fully cycle extendable
and strengthens the corresponding result [3].
Bondy.JA,Murty,USA.GraphThoryWithApplicationsLondon[M].Landon:MacmillanPress,1976.
朱永津,王江鲁.K1,p——约束图的完全圈可扩性[J].高等应用数学学报,1998,13(3):319-325.
滕延燕,尤海燕.连通、几乎局部连通拟无爪图是完全圈可扩的[J].山东师范大学学报,2002,17(4):5-8.
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