A Characterization for a Sequence to be Potentially K_(r+1) — e-graphic  

A Characterization for a Sequence to be Potentially K_(r+1) — e-graphic

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作  者:Jian-hua YIN Ye WANG 

机构地区:[1]Department of Mathematics,College of Information Science and Technology,Hainan University

出  处:《Acta Mathematicae Applicatae Sinica》2013年第4期787-792,共6页应用数学学报(英文版)

基  金:Supported by National Natural Science Foundation of China(Nos.11161016 and 10861006)

摘  要:Let n 〉 r, let lr --- (dl,d2,-,dn) be a non-increasing sequence of nonnegative integers and let Kr+l - e be the graph obtained from Kr+l by deleting one edge. If zr has a realization G containing Kr+l - e as a subgraph, then r is said to be potentially Kr+l - e-graphic. In this paper, we give a characterization for a sequence π to be potentially Kr+l - e-graphic.Let n 〉 r, let lr --- (dl,d2,-,dn) be a non-increasing sequence of nonnegative integers and let Kr+l - e be the graph obtained from Kr+l by deleting one edge. If zr has a realization G containing Kr+l - e as a subgraph, then r is said to be potentially Kr+l - e-graphic. In this paper, we give a characterization for a sequence π to be potentially Kr+l - e-graphic.

关 键 词:GRAPH degree sequence potentially Kr+1 - e-graphic sequence 

分 类 号:O157.5[理学—数学]

 

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