Advanced Courses in Mathematics - CRM Barcelona

Combinatorial Matrix Theory

Authors: Brualdi, R.A., Carmona, Á., van den Driessche, P., Kirkland, S., Stevanovic, D.

Editors: Encinas, Andrés M., Mitjana, Margarida (Eds.)

  • Focuses on permutation, alternating sign and tournament matrices
  • Includes an introduction to boundary value problems and related techniques on finite networksDiscusses applications of the group inverse of the Laplacian matrix
Show all benefits

Buy this book

eBook $29.99
price for USA in USD (gross)
  • ISBN 978-3-319-70953-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.99
price for USA in USD
  • ISBN 978-3-319-70952-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Richard A. Brualdi is an Emeritus Professor at the University of Wisconsin in Madison, WI, USA.

Pauline van den Driessche is an Emeritus Professor at the University of Victoria, Canada.

Dragan Stevanović is a Full Research Professor at the Serbian Academy of Sciences and Arts in Belgrade, Serbia.

Stephen Kirkland is a Professor at the University of Manitoba in Winnipeg, Canada.

Ángeles Carmona is an Associate Professor at the Universitat Politècnica de Catalunya in Barcelona, Spain. 

Table of contents (5 chapters)

  • Some Combinatorially Defined Matrix Classes

    Brualdi, Richard A.

    Pages 1-46

  • Sign Pattern Matrices

    Driessche, P.

    Pages 47-82

  • Spectral Radius of Graphs

    Stevanović, Dragan

    Pages 83-130

  • The Group Inverse of the Laplacian Matrix of a Graph

    Kirkland, Stephen

    Pages 131-171

  • Boundary Value Problems on Finite Networks

    Carmona, Ángeles

    Pages 173-217

Buy this book

eBook $29.99
price for USA in USD (gross)
  • ISBN 978-3-319-70953-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.99
price for USA in USD
  • ISBN 978-3-319-70952-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Combinatorial Matrix Theory
Authors
Editors
  • Andrés M. Encinas
  • Margarida Mitjana
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-70953-6
DOI
10.1007/978-3-319-70953-6
Softcover ISBN
978-3-319-70952-9
Series ISSN
2297-0304
Edition Number
1
Number of Pages
XI, 219
Topics