Combinatorial matrix theory / Richard A. Brualdi, Ángeles Carmona, P. van den Driessche, Stephen Kirkland, Dragan Stevanović ; editors for this volume: Andrés M. Encinas, Margarida Mitjana.
2018
QA188
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Title
Combinatorial matrix theory / Richard A. Brualdi, Ángeles Carmona, P. van den Driessche, Stephen Kirkland, Dragan Stevanović ; editors for this volume: Andrés M. Encinas, Margarida Mitjana.
ISBN
9783319709536 (electronic book)
3319709534 (electronic book)
9783319709529
3319709534 (electronic book)
9783319709529
Published
Cham, Switzerland : Birkhäuser, 2018.
Language
English
Description
1 online resource (xi, 219 pages).
Item Number
10.1007/978-3-319-70953-6 doi
Call Number
QA188
Dewey Decimal Classification
512.9/434
Summary
This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanović delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Ángeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 4, 2018).
Added Author
Series
Advanced courses in mathematics, CRM Barcelona.
Available in Other Form
Print version: 9783319709529
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Table of Contents
Some combinatorially defined matrix class
Sign pattern matrices
The spectral radius of a graph
The group inverse of the Laplacian matrix of a graph
Boundary value problems on finite networks.
Sign pattern matrices
The spectral radius of a graph
The group inverse of the Laplacian matrix of a graph
Boundary value problems on finite networks.