The Bruhat rank of a binary symmetric staircase pattern

Zhibin Du; Carlos M. da Fonseca

The Bruhat rank of a binary symmetric staircase pattern

Zhibin Du; Carlos M. da Fonseca

Open Mathematics (2016)

Volume: 14, Issue: 1, page 832-840
ISSN: 2391-5455

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In this work we show that the Bruhat rank of a symmetric (0,1)-matrix of order n with a staircase pattern, total support, and containing In, is at most 2. Several other related questions are also discussed. Some illustrative examples are presented.

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Zhibin Du, and Carlos M. da Fonseca. "The Bruhat rank of a binary symmetric staircase pattern." Open Mathematics 14.1 (2016): 832-840. <http://eudml.org/doc/287070>.

@article{ZhibinDu2016,
abstract = {In this work we show that the Bruhat rank of a symmetric (0,1)-matrix of order n with a staircase pattern, total support, and containing In, is at most 2. Several other related questions are also discussed. Some illustrative examples are presented.},
author = {Zhibin Du, Carlos M. da Fonseca},
journal = {Open Mathematics},
keywords = {Permutation matrix; Bruhat order; Bruhat shadow; Bruhat rank; Inversion; permutation matrix; inversion},
language = {eng},
number = {1},
pages = {832-840},
title = {The Bruhat rank of a binary symmetric staircase pattern},
url = {http://eudml.org/doc/287070},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Zhibin Du
AU - Carlos M. da Fonseca
TI - The Bruhat rank of a binary symmetric staircase pattern
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 832
EP - 840
AB - In this work we show that the Bruhat rank of a symmetric (0,1)-matrix of order n with a staircase pattern, total support, and containing In, is at most 2. Several other related questions are also discussed. Some illustrative examples are presented.
LA - eng
KW - Permutation matrix; Bruhat order; Bruhat shadow; Bruhat rank; Inversion; permutation matrix; inversion
UR - http://eudml.org/doc/287070
ER -

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