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Restricted Edge Connectivity of Binary Undirected Kautz Graphs
引用本文:OU Jian-pingDepartment of Mathematics,Shantou University,Shantou 515063,China, Department of Mathematics,Zhangzhou Normal College,Zhangzhou 363000,China. Restricted Edge Connectivity of Binary Undirected Kautz Graphs[J]. 数学季刊, 2004, 19(1): 47-50
作者姓名:OU Jian-pingDepartment of Mathematics  Shantou University  Shantou 515063  China   Department of Mathematics  Zhangzhou Normal College  Zhangzhou 363000  China
作者单位:OU Jian-pingDepartment of Mathematics,Shantou University,Shantou 515063,China; Department of Mathematics,Zhangzhou Normal College,Zhangzhou 363000,China
基金项目:Supported by the NNSF of China(10271105),Supported by the NSF of Fujian EducationMinistry(JA03145),Supported by the NNSF of China(10071080)
摘    要:A restricted edge cut is an edge cut of a connected graph whose removal resultsin a disconnected graph without isolated vertices. The size of a minimum restricted edge cutof a graph G is called its restricted edge connectivity, and is denoted by λ′(G). Let ξ(G) bethe minimum edge degree of graph G. It is known that λ′(G) ≤ξ(G) if G contains restrictededge cuts. Graph G is called maximal restricted edge connected if the equality holds in thethe preceding inequality. In this paper, undirected Kautz graph UK(2, n) is proved to bemaximal restricted edge connected if n ≥ 2.

关 键 词:图论  曲线图  连通性  有限元模型

Restricted Edge Connectivity of BinaryUndirected Kautz Graphs
OUJian-ping. Restricted Edge Connectivity of BinaryUndirected Kautz Graphs[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 47-50
Authors:OUJian-ping
Affiliation:DepartmentofMathematics,ShantouUniversity,Shantou515063,China
Abstract:
Keywords:Kautz graph  connectivity  restricted
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