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ON THE REPRESENTATION OF DOUBLY STOCHASTIC MATRICES AS SUMS OF PERMUTATIONS

Published online by Cambridge University Press:  18 April 2001

H. A. SHAH ALI
H. A. SHAH ALI
Affiliation:
No. 83 P.O. code 13596, Tahmtan St, Qazvin St, Tehran, Iran
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Abstract

Any doubly stochastic finite matrix with integer entries is the sum of permutation matrices. A lower bound on how many of the permutations are equal is obtained.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 1 , January 2001 , pp. 11 - 15
Copyright
© The London Mathematical Society 2001

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