Solution of the conjecture of Brualdi and Li

被引：10

作者：

Drury, S. W. ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

来源：

关键词：

Brualdi-Li conjecture; Tournament; Characteristic polynomial; Perron root; TOURNAMENT MATRIX; ROOTS;

D O I：

10.1016/j.laa.2011.11.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：3392 / 3399

页数：8

共 10 条

[1] On the roots of a fundamental equation
Bendixon, I
[J]. ACTA MATHEMATICA, 1902, 25 (01) : 359 - 365
[2] BRAUER A, 1968, B AM MATH SOC, V74, P1133, DOI 10.1090/S0002-9904-1968-12079-8
[3] Brualdi R.A., 1983, Discrete Math, V43, P329
[4] Spectra of digraphs
Brualdi, Richard A.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (09) : 2181 - 2213
[5] PICK INEQUALITY AND TOURNAMENTS
GREGORY, DA
KIRKLAND, SJ
SHADER, BL
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 186 : 15 - 36
[6] Properties of the Brualdi-Li tournament matrix
Hemasinha, R
Weaver, JR
Kirkland, SJ
Stuart, JL
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 361 : 63 - 73
[7] Horn R.A., 2012, Matrix Analysis
[8] An upper bound on the Perron value of an almost regular tournament matrix
Kirkland, S
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 361 : 7 - 22
[9] Kirkland S, 1997, LINEAR ALGEBRA APPL, V262, P209
[10] The roots of the characteristic equations of oscillation problems
Pick, G
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1922, 2 : 353 - 357