Combinatorial Matrix Theory

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 combina...

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Bibliographic Details
Main Authors: Brualdi, Richard A., Carmona, Ángeles (Author), van den Driessche, P. (Author), Kirkland, Stephen (Author)
Format: eBook
Language:English
Published: Cham Birkhäuser 2018, 2018
Edition:1st ed. 2018
Series:Advanced Courses in Mathematics - CRM Barcelona
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Combinatorial Matrix Theory  |h Elektronische Ressource  |c by Richard A. Brualdi, Ángeles Carmona, P. van den Driessche, Stephen Kirkland, Dragan Stevanović ; edited by Andrés M. Encinas, Margarida Mitjana 
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505 0 |a 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 
653 |a Probability Theory 
653 |a Linear Algebra 
653 |a Potential theory (Mathematics) 
653 |a Discrete Mathematics 
653 |a Algebras, Linear 
653 |a Discrete mathematics 
653 |a Differential Equations 
653 |a Potential Theory 
653 |a Differential equations 
653 |a Probabilities 
700 1 |a Carmona, Ángeles  |e [author] 
700 1 |a van den Driessche, P.  |e [author] 
700 1 |a Kirkland, Stephen  |e [author] 
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520 |a 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