Combinatorial Matrix Theory

• Main Authors: Brualdi, Richard A. (Author, http://id.loc.gov/vocabulary/relators/aut), Carmona, Ángeles (http://id.loc.gov/vocabulary/relators/aut), van den Driessche, P. (http://id.loc.gov/vocabulary/relators/aut), Kirkland, Stephen (http://id.loc.gov/vocabulary/relators/aut), Stevanović, Dragan (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Encinas, Andrés M. (Editor, http://id.loc.gov/vocabulary/relators/edt), Mitjana, Margarida (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Advanced Courses in Mathematics - CRM Barcelona,
• Subjects: Combinatorics.; Matrix theory.; Algebra.; Potential theory (Mathematics).; Differential equations.; Probabilities.; Linear and Multilinear Algebras, Matrix Theory.; Potential Theory.; Ordinary Differential Equations.; Probability Theory and Stochastic Processes.

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 combin...

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.