Contribution to van der Waerden's conjecture
type: Item
instance of: scholarly article
title: Contribution to van der Waerden's conjecture
zbMATH Open document ID: 1003.15020
DOI: 10.1016/S0898-1221(01)00252-8
author: B. Gyires
publication date: 2002-08-25T00:00:00Z
review text: The author gives two different elementary proofs for the inequality which states that the permanent of doubly stochastic matrices is greater than or equal to \((n!/n^n)\). This inequality was proved earlier by the author [J. Comb. Inf. Syst. Sci. 2, 107-113 (1977; Zbl 0401.15006)], and independently by \textit{G. P. Egorychev} [Akademiya Nauk SSSR. Sibirskoe Otdelenie, Institut Fiziki im. L. V. Kirenskogo, Krasnoyarsk. Prepo. IFSO-13 M (1980; Zbl 0438.15010)] and \textit{D. I. Falikman} [Mat. Zamatki 29, 931-938 (1981; Zbl 0475.15007)].
reviewed by: Rodica Covaci
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 1787775
zbMATH Keywords: van der Waerden's conjecture
zbMATH Keywords: inequality
zbMATH Keywords: permanent
zbMATH Keywords: doubly stochastic matrices
MaRDI profile type: Publication
Wikidata QID: Q123156041
cites work: Q4184984
cites work: Q3879370
cites work: Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
cites work: Q5771003
cites work: Some notes on the van der Waerden conjecture
cites work: Elementary proof for a Van der Waerden's conjecture and related theorems
cites work: Solutions of permanental equations regarding stochastic matrices
cites work: Q4184985
cites work: Q5812325
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1787775