A conjecture on minimum permanents
Czechoslovak Mathematical Journal (2024)
- Issue: 1, page 273-282
- ISSN: 0011-4642
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topCheon, Gi-Sang, and Song, Seok-Zun. "A conjecture on minimum permanents." Czechoslovak Mathematical Journal (2024): 273-282. <http://eudml.org/doc/299237>.
@article{Cheon2024,
abstract = {We consider the permanent function on the faces of the polytope of certain doubly stochastic matrices, whose nonzero entries coincide with those of fully indecomposable square $(0,1)$-matrices containing the identity submatrix. We show that a conjecture in K. Pula, S. Z. Song, I. M. Wanless (2011), is true for some cases by determining the minimum permanent on some faces of the polytope of doubly stochastic matrices.},
author = {Cheon, Gi-Sang, Song, Seok-Zun},
journal = {Czechoslovak Mathematical Journal},
keywords = {permanent; doubly stochastic; barycentric; cohesive matrix},
language = {eng},
number = {1},
pages = {273-282},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A conjecture on minimum permanents},
url = {http://eudml.org/doc/299237},
year = {2024},
}
TY - JOUR
AU - Cheon, Gi-Sang
AU - Song, Seok-Zun
TI - A conjecture on minimum permanents
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 273
EP - 282
AB - We consider the permanent function on the faces of the polytope of certain doubly stochastic matrices, whose nonzero entries coincide with those of fully indecomposable square $(0,1)$-matrices containing the identity submatrix. We show that a conjecture in K. Pula, S. Z. Song, I. M. Wanless (2011), is true for some cases by determining the minimum permanent on some faces of the polytope of doubly stochastic matrices.
LA - eng
KW - permanent; doubly stochastic; barycentric; cohesive matrix
UR - http://eudml.org/doc/299237
ER -
References
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- Song, S.-Z., Beasley, L. B., 10.1080/03081087.2023.2190073, (to appear) in Linear Multilinear Algebra. DOI10.1080/03081087.2023.2190073
- Song, S.-Z., Hong, S. M., Jun, Y.-B., Kim, S.-J., 10.1016/s0024-3795(96)00248-0, Linear Algebra Appl. 259 (1997), 169-182. (1997) Zbl0955.15009MR1450536DOI10.1016/s0024-3795(96)00248-0
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