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Planarity of Iterated Jump Graphs

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【作者】 魏二玲刘彦佩

【Author】 WEI Er-ling (Department of Mathematics, Renmin University of China, Beijing, 100872) LIU Yan-pei (Institute of Mathematics, Beijing Jiaotong University, Beijing, 100044)

【机构】 Department of Mathematics Renmin University of ChinaBeijing100872Institute of Mathematics Beijing Jiaotong University100044

【摘要】 <正>The infinite sequence {J5k(G)} where J5(G) denotes the 5-jump graph of G, is planar if, and only if, G = cor(K3). For r-jump graph with r ≥6, there does not exist a graph G such that the sequence {Jrk(G)} is planar.

【Abstract】 The infinite sequence {J5k(G)} where J5(G) denotes the 5-jump graph of G, is planar if, and only if, G = cor(K3). For r-jump graph with r ≥ 6, there does not exist a graph G such that the sequence {Jrk(G)} is planar.

【关键词】 graphr-jump graphconverge
【Key words】 graphr-jump graphconverge
【基金】 The NNSF (60373030) of China.
  • 【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2005年01期
  • 【分类号】O157.5
  • 【下载频次】5
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