On Compact Graphs

On Compact Graphs
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DOI:
10.1007/s10114-004-0485-1
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发表时间:
2005
期刊:
Acta Mathematica Sinica
影响因子:
--
通讯作者:
Jiongsheng Li
Jiongsheng Li
中科院分区:
--
文献类型:
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作者:
Ping Wang;Jiongsheng Li

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摘要设G为具有邻接矩阵a的有限简单图,设P (a)为其凸
AbstractLet G be a finite simple graph with adjacency matrix A, and let P̄̄(A) be the convex closure of the set of all permutation matrices commuting with A. G is said to be compact if every doubly stochastic matrix which commutes with A is in P̄(A). In this paper, we characterize 3–regular compact graphs and prove that if G is a connected regular compact graph, G – v is also compact, and give a family of almost regular compact connected graphs.