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(P,P)图的可嵌性定理
引用本文:王敏,张传惠.(P,P)图的可嵌性定理[J].烟台大学学报(自然科学与工程版),1991(1):13-17.
作者姓名:王敏  张传惠
作者单位:烟台大学 (王敏),烟台大学(张传惠)
摘    要:设G是一个简单无向图,称G是(P,P)图,如果|E(G)|=|v(G)|.若G同构于6某个子图,则称G可嵌入6,本文用极其简捷的方法证明了:阶数大于9的(P,P)图可嵌入其补图内的充要条件是G不和图(1)中的任一个图同构。

关 键 词:  补图  同构置换  嵌入

Theorems about Embedding (P,P) Graph in Their Complements
Wang Min,Zhang Chuanhui.Theorems about Embedding (P,P) Graph in Their Complements[J].Journal of Yantai University(Natural Science and Engineering edirion),1991(1):13-17.
Authors:Wang Min  Zhang Chuanhui
Institution:Yantai University
Abstract:Let G be a simple undirected graph and G be the complement of G. Call G a (P,P) graph, if |E(G) | = | V(G) |. Call G can be embedded into G,if G is isomorphism to a subgraph of G. In this paper,we proved with a very simple method,that a (P,P) graph G with order greater than nine can be embedded into G,if and only if G is isomorphism to none of graphs in figure one.
Keywords:Complementary graph  Isomorphism  Permutation  Embedding  
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