04431nam 22007695 450 991030010700332120200705020725.03-319-70953-410.1007/978-3-319-70953-6(CKB)4100000002892111(DE-He213)978-3-319-70953-6(MiAaPQ)EBC5595257(PPN)225550938(EXLCZ)99410000000289211120180331d2018 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierCombinatorial Matrix Theory [electronic resource] /by Richard A. Brualdi, Ángeles Carmona, P. van den Driessche, Stephen Kirkland, Dragan Stevanović ; edited by Andrés M. Encinas, Margarida Mitjana1st ed. 2018.Cham :Springer International Publishing :Imprint: Birkhäuser,2018.1 online resource (XI, 219 p.)Advanced Courses in Mathematics - CRM Barcelona,2297-03043-319-70952-6 Includes bibliographical references.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.Advanced Courses in Mathematics - CRM Barcelona,2297-0304CombinatoricsMatrix theoryAlgebraPotential theory (Mathematics)Differential equationsProbabilitiesCombinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Potential Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12163Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Combinatorics.Matrix theory.Algebra.Potential theory (Mathematics).Differential equations.Probabilities.Combinatorics.Linear and Multilinear Algebras, Matrix Theory.Potential Theory.Ordinary Differential Equations.Probability Theory and Stochastic Processes.512.9434Brualdi Richard Aauthttp://id.loc.gov/vocabulary/relators/aut40965Carmona Ángelesauthttp://id.loc.gov/vocabulary/relators/autvan den Driessche Pauthttp://id.loc.gov/vocabulary/relators/autKirkland Stephenauthttp://id.loc.gov/vocabulary/relators/autStevanović Draganauthttp://id.loc.gov/vocabulary/relators/autEncinas Andrés Medthttp://id.loc.gov/vocabulary/relators/edtMitjana Margaridaedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910300107003321Combinatorial matrix theory911331UNINA