On the Permanent of a Certain Class of (0, 1)-Matrices
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 507-511
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In [3, p. 77] Ryser notes the importance of the minimum of the permanent function on the class of (0, 1)-matrices having exactly k ones in each row and column. In [4] a lower bound was found for the minimum of the permanent on the class Λn of n × n (0, 1)-matrices with exactly three l's in each row and column. The purpose of our work is to improve this result, in particular we show that minA ∊ Λn (per A) ≥ 3(n-1).
Hartfiel, D. J.; Crosby, J. W. On the Permanent of a Certain Class of (0, 1)-Matrices. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 507-511. doi: 10.4153/CMB-1971-091-1
@article{10_4153_CMB_1971_091_1,
author = {Hartfiel, D. J. and Crosby, J. W.},
title = {On the {Permanent} of a {Certain} {Class} of (0, {1)-Matrices}},
journal = {Canadian mathematical bulletin},
pages = {507--511},
year = {1971},
volume = {14},
number = {4},
doi = {10.4153/CMB-1971-091-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-091-1/}
}
TY - JOUR AU - Hartfiel, D. J. AU - Crosby, J. W. TI - On the Permanent of a Certain Class of (0, 1)-Matrices JO - Canadian mathematical bulletin PY - 1971 SP - 507 EP - 511 VL - 14 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-091-1/ DO - 10.4153/CMB-1971-091-1 ID - 10_4153_CMB_1971_091_1 ER -
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