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典型文献
The Vertex Euclidean Properties of Graphs
文献摘要:
A simple graph G=(V,E)is said to be vertex Euclidean if there exists a bijection f from V to{1,2,....,|V |}such that f(u)+f(v)>f(w)for each C3 subgraph with vertex set{u,v,w},where f(u)<f(v)<f(w).The vertex Euclidean deficiency of a graph G,denoted μvEuclid(G),is the smallest positive integer n such that G U Nn is vertex Euclidean.In this paper,we introduce some methods for deriving the vertex Euclidean properties of some simple graphs.
文献关键词:
作者姓名:
Zhen Bin GAO;Meng WANG;Sin Min LEE;Harris KWONG;Shu Juan WANG
作者机构:
College of Mathematical Sciences,Harbin Engineering University,Harbin 150001,P.R.China;1786 Plan Tree Drive,Upland,CA 91784,USA;Dept.of Math.Sci.,SUNY Fredonia,Fredonia,NY 14063,USA
引用格式:
[1]Zhen Bin GAO;Meng WANG;Sin Min LEE;Harris KWONG;Shu Juan WANG-.The Vertex Euclidean Properties of Graphs)[J].数学学报(英文版),2022(07):1185-1202
A类:
bijection,vEuclid
B类:
Vertex,Euclidean,Properties,Graphs,simple,said,be,vertex,if,there,exists,from,such,that,+f,each,C3,subgraph,set,where,deficiency,denoted,smallest,positive,integer,Nn,In,this,paper,we,introduce,some,methods,deriving,properties,graphs
AB值:
0.575811
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