BALANCED MATRICES WITH ROW SUM-3

被引：0

作者：

TUCKER, A ^{[1
]}

机构：

[1] SUNY STONY BROOK,STONY BROOK,NY 11794

来源：

DISCRETE MATHEMATICS | 1994年 / 132卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(92)00578-F

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that a balanced matrix whose row sums are less-than-or-equal-to 3 is totally unimodular. The proof is based on analyzing the effects of Gaussian elimination on such balanced matrices.

引用

页码：395 / 398

页数：4

共 50 条

[1] Nearly L-matrices and generalized row sign balanced matrices
Shao, JY
Hwang, SG
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 317 (1-3) : 41 - 52
[2] On normal matrices of zeros and ones with fixed row sum
Wang, BY
Zhang, FZ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 276 : 617 - 626
[3] On the Lie structure of zero row sum and related matrices
Boukas, Andreas
Feinsilver, Philip
Fellouris, Anargyros
[J]. RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2015, 23 (04) : 209 - 218
[4] ASYMPTOTICS AND RANDOM MATRICES WITH ROW-SUM AND COLUMN SUM-RESTRICTIONS
ONEIL, PE
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (06) : 1276 - &
[5] Bounding the row sum arithmetic mean by Perron roots of row-permuted matrices
Engel, Gernot Michael
Sergeev, Sergei
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 673 : 220 - 232
[6] Construction of all tournament matrices with prescribed row sum vector
Hacioglu, Ilhan
Kurkcu, Burak
[J]. DISCRETE APPLIED MATHEMATICS, 2014, 171 : 147 - 152
[7] MATRICES OF ZEROS AND ONES WITH FIXED ROW AND COLUMN SUM VECTORS
BRUALDI, RA
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1980, 33 (OCT) : 159 - 231
[8] ON THE LOCATION OF EIGENVALUES OF REAL CONSTANT ROW-SUM MATRICES
Hall, Frank J.
Marsli, Rachid
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (06) : 1691 - 1701
[9] Circular law for random discrete matrices of given row sum
Nguyen, Hoi H.
Vu, Van H.
[J]. JOURNAL OF COMBINATORICS, 2013, 4 (01) : 1 - 30
[10] On (0,1)-matrices with prescribed row and column sum vectors
da Fonseca, C. M.
Mamede, Ricardo
[J]. DISCRETE MATHEMATICS, 2009, 309 (08) : 2519 - 2527

← 1 2 3 4 5 →