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＜電子ブック＞
Combinatorial Matrix Theory / by Richard A. Brualdi, Ángeles Carmona, P. van den Driessche, Stephen Kirkland, Dragan Stevanović ; edited by Andrés M. Encinas, Margarida Mitjana
(Advanced Courses in Mathematics - CRM Barcelona. ISSN:22970312)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2018
本文言語	英語
大きさ	XI, 219 p : online resource
著者標目	*Brualdi, Richard A author Carmona, Ángeles author van den Driessche, P author Kirkland, Stephen author Stevanović, Dragan author Encinas, Andrés M editor Mitjana, Margarida editor SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Algebras, Linear LCSH:Potential theory (Mathematics) LCSH:Differential equations LCSH:Probabilities FREE:Discrete Mathematics FREE:Linear Algebra FREE:Potential Theory FREE:Differential Equations FREE:Probability Theory
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-70953-6

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