A NOTE ON COMPLETELY POSITIVE GRAPHS 被引量：3

A NOTE ON COMPLETELY POSITIVE GRAPHS

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摘要 A necessary and sufficient condition is given for a doubly nonnegative matrix realization of a cycle to be completely positive. Also some special non-CP graphs are investigated. A necessary and sufficient condition is given for a doubly nonnegative matrix realization of a cycle to be completely positive. Also some special non-CP graphs are investigated.

作者 XU Changqing (Department of Mathematics, Anhui University, Hefei 230039, China) LI Jiongsheng (Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)

出处《Systems Science and Mathematical Sciences》 SCIE EI CSCD 2000年第2期121-125,共5页

基金 This research is supported by the Education Committee of Anhui Province.

关键词 DOUBLY NONNEGATIVE matrix COMPLETELY positive graph cycle factorization. Doubly nonnegative matrix, completely positive graph, cycle, factorization.

分类号 O212.2 [理学—概率论与数理统计]

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1徐常青.COMPLETELY POSITIVE MATRICES OF ORDER FIVE[J].Acta Mathematicae Applicatae Sinica,2001,17(4):550-562.
2刘玉.准幻方矩阵的几个性质[J].韩山师范学院学报,2015,36(3):16-19.
3徐常青.Completely Positive Realizations of a Cycle[J].Journal of Mathematical Research and Exposition,2002,22(3):391-395.

1Xiao Dong ZHANG,Jiong Sheng LI Department of Mathematics, Shanghai, Jiao Tong University, 1954 Huashan road, Shanghai 200030, P. R. China Department of Mathematics, University of Science and Technology of China, Anhui 230020, P. R. China.Factorization Index for Completely Positive Graphs[J].Acta Mathematica Sinica,English Series,2002,18(4):823-832.
2徐常青.5阶图的结构完全正[J].高等学校计算数学学报,2002,24(3):230-235.
3吕桦,廖耀发.任意安全的量子保密通讯[J].原子与分子物理学报,2004,21(B04):323-324.
4Xu Changqing(Dept.of Math.,Anhui University,Hefei 230039,PRC).COMPLETELY POSITIVE MATRICES WITH (A)=Rank(A)[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2000,9(S1):49-52.
5Xiang Shuhuang (Dept.of Appl.Math.,Central South UNiversity,Changsha 410083,PRC).SOME REMARKS ON COMPLETELY POSITIVE MATRICES AND COMPLETELY POSITIVE GRAPHS[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2000,9(S1):146-152.

Systems Science and Mathematical Sciences

2000年第2期

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A NOTE ON COMPLETELY POSITIVE GRAPHS 被引量：3

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