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Comments on a Paper of R. A. Brualdi

Authors :
D. P. Bovet
G. Bongiovanni
A. Cerioli
Source :
Canadian Mathematical Bulletin. 31:394-398
Publication Year :
1988
Publisher :
Canadian Mathematical Society, 1988.

Abstract

R. A. Brualdi [1] presents a construction yielding matrices whose Birkhoff representation consists of the maximum number of permutation matrices and having 0(2n2) line sum. In this note a counterexample to such a construction is given. Furthermore, a new construction is presented, yielding matrices with lower line sums.

Details

ISSN :
14964287 and 00084395
Volume :
31
Database :
OpenAIRE
Journal :
Canadian Mathematical Bulletin
Accession number :
edsair.doi...........17a0019512370102411b767fa21f1476