A Note on Vulnerability in Graphs of Diameter Five(Ⅱ) |
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引用本文: | 许承德.A Note on Vulnerability in Graphs of Diameter Five(Ⅱ)[J].上海大学学报(英文版),2005(4). |
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作者姓名: | 许承德 |
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作者单位: | Department of |
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基金项目: | ProjectsupportedbytheSpecialFundsforMajorSpecialitiesofShanghaiMunicipalCommissionofEducation |
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摘 要: | 1IntroductionIn general,we followthe notation and terminologyin Refs.1-5,7].In this paper all graphs are si mple.LetGbe a graph,V(G)the vertex set ofG,andE(G)the edge set ofG.The distance between twoverticesx,y∈V(G)is denoted bydG(x,y).Thediameter ofGis denoted byd(G).A short(x,y)-pathis an(x,y)-path with length≤d(G).An edgee∈E(G)is called cyclic if there exists a cycle inGcontaininge.To each cyclic edgee,letg(e)be thelength of the shortest cycle containinge.Ifeis abridge theng(e)…
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