LEADER 04431nam 22007695 450 001 9910300107003321 005 20200705020725.0 010 $a3-319-70953-4 024 7 $a10.1007/978-3-319-70953-6 035 $a(CKB)4100000002892111 035 $a(DE-He213)978-3-319-70953-6 035 $a(MiAaPQ)EBC5595257 035 $a(PPN)225550938 035 $a(EXLCZ)994100000002892111 100 $a20180331d2018 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCombinatorial Matrix Theory $b[electronic resource] /$fby Richard A. Brualdi, Ángeles Carmona, P. van den Driessche, Stephen Kirkland, Dragan Stevanovi? ; edited by Andrés M. Encinas, Margarida Mitjana 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (XI, 219 p.) 225 1 $aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304 311 $a3-319-70952-6 320 $aIncludes bibliographical references. 327 $aSome 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. 330 $aThis book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanovi? delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Ángeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem. 410 0$aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304 606 $aCombinatorics 606 $aMatrix theory 606 $aAlgebra 606 $aPotential theory (Mathematics) 606 $aDifferential equations 606 $aProbabilities 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aCombinatorics. 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aPotential theory (Mathematics). 615 0$aDifferential equations. 615 0$aProbabilities. 615 14$aCombinatorics. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aPotential Theory. 615 24$aOrdinary Differential Equations. 615 24$aProbability Theory and Stochastic Processes. 676 $a512.9434 700 $aBrualdi$b Richard A$4aut$4http://id.loc.gov/vocabulary/relators/aut$040965 702 $aCarmona$b Ángeles$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $avan den Driessche$b P$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKirkland$b Stephen$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aStevanovi?$b Dragan$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aEncinas$b Andrés M$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMitjana$b Margarida$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300107003321 996 $aCombinatorial matrix theory$9911331 997 $aUNINA