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Combinatorial and Graph-Theoretical Problems in Linear Algebra

Author: Richard A Brualdi; Shmuel Friedland; Victor Klee
Publisher: New York, NY : Springer New York, 1993.
Series: IMA volumes in mathematics and its applications, 50.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This volume aims to gather information from both those who work on linear algebra problems in which combinatorial or graph-theoretical analysis is a major component and those that work on combinatorial or graph-theoretical problems for which linear algebra is a major tool. The fifteen papers in this volume span a wide cross-section of past and current research in the field. Specific topics covered in the papers  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Richard A Brualdi; Shmuel Friedland; Victor Klee
ISBN: 9781461383543 1461383544
OCLC Number: 852792380
Description: 1 online resource (xv, 260 pages 18 illustrations).
Contents: Symbolic dynamics and matrices --
Mixed matrices: Irreducibility and decomposition --
A geometric approach to the Laplacian matrix of a graph --
Qualitative semipositivity --
Eigenvalues in combinatorial optimization --
Eutactic stars and graph spectra --
Some matrix patterns arising in queuing theory --
Laplacian unimodular equivalence of graphs --
Rank incrementation via diagonal perturbations --
Eigenvalues of almost skew symmetric matrices and tournament matrices --
Combinatorial orthogonality --
The symmetric group as a polynomial space --
Completely positive graphs --
Hadamard matrices --
Self-inverse sign patterns --
Open problems.
Series Title: IMA volumes in mathematics and its applications, 50.
Responsibility: edited by Richard A. Brualdi, Shmuel Friedland, Victor Klee.
More information:

Abstract:

This volume aims to gather information from both those who work on linear algebra problems in which combinatorial or graph-theoretical analysis is a major component and those that work on combinatorial or graph-theoretical problems for which linear algebra is a major tool. The fifteen papers in this volume span a wide cross-section of past and current research in the field. Specific topics covered in the papers include matrix problems and results in symbolic dynamics, block-triangular decompositions of mixed matrices, algebraic and geometric properties of Laplacian matrices of graphs, the use of eigenvalues in combinatorial optimization, perturbation effects on rank and eigenvalues, and polynomial spaces. This book should be of interest to researchers in linear algebra, combinatorics and graph theory, and to anyone who wishes to get a glimpse of this fascinating area.

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