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A Sufficient Condition for 2-Distance-Dominating Cycles

A Sufficient Condition for 2-Distance-Dominating Cycles
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摘要 A cycle C of a graph G is a m-distance-dominating cycle if for all vertices of . Defining denotes the minimum value of the degree sum of any k independent vertices of G. In this paper, we prove that if G is a 3-connected graph on n vertices, and if , then every longest cycle is m-distance-dominating cycles. A cycle C of a graph G is a m-distance-dominating cycle if for all vertices of . Defining denotes the minimum value of the degree sum of any k independent vertices of G. In this paper, we prove that if G is a 3-connected graph on n vertices, and if , then every longest cycle is m-distance-dominating cycles.
作者 Xinman Wang Linyu Li Xinman Wang;Linyu Li(School of Mathematics and Statistics, Shandong Normal University, Jinan, China)
出处 《Engineering(科研)》 2022年第3期113-118,共6页 工程(英文)(1947-3931)
关键词 Degree Sums Distance Dominating Cycles Insertible Vertex Degree Sums Distance Dominating Cycles Insertible Vertex
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