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An algorithmic proof of Bregman-Minc theorem.

Authors :
Xu, Li
Liang, Heng
Bai, Fengshan
Source :
International Journal of Computer Mathematics. Dec2009, Vol. 86 Issue 12, p2181-2185. 5p.
Publication Year :
2009

Abstract

Bregman-Minc theorem gives the best known upper bound of the permanent of (0, 1)-matrices. A new proof of the theorem is presented in this paper, using an unbiased estimator of permanent [L.E. Rasmussen, Approximating the permanent: a simple approach, Random Structures Algorithms 5 (1994), p. 349]. This proof establishes a connection between the randomized approximate algorithm and the bound estimation for permanents. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00207160
Volume :
86
Issue :
12
Database :
Academic Search Index
Journal :
International Journal of Computer Mathematics
Publication Type :
Academic Journal
Accession number :
49235375
Full Text :
https://doi.org/10.1080/00207160802441264