Geodesic
Comments on a Paper of R. A. Brualdi
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 394-398

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DOI

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.
DOI : 10.4153/CMB-1988-056-5
Mots-clés : 15A51, 05C50, 52A25 
Bongiovanni, G.; Bovet, D. P.; Cerioli, A. Comments on a Paper of R. A. Brualdi. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 394-398. doi: 10.4153/CMB-1988-056-5
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     title = {Comments on a {Paper} of {R.} {A.} {Brualdi}},
     journal = {Canadian mathematical bulletin},
     pages = {394--398},
     year = {1988},
     volume = {31},
     number = {4},
     doi = {10.4153/CMB-1988-056-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-056-5/}
}
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