TY - BOOK ID - 5463527 TI - Combinatorial matrix classes PY - 2006 VL - 108 SN - 9780521865654 0521865654 9780511721182 9781461941538 1461941539 0511721188 9781107390478 1107390478 9780511838415 1139883348 9781139883344 1107384044 9781107384040 1107387558 9781107387553 1107398886 9781107398887 0511838417 9780511838415 1107395275 9781107395275 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Combinatorial analysis KW - Matrices KW - Analyse combinatoire KW - Combinatorial analysis. KW - Matrices. KW - Algebra, Matrix KW - Cracovians (Mathematics) KW - Matrix algebra KW - Matrixes (Algebra) KW - Algebra, Abstract KW - Algebra, Universal KW - Combinatorics KW - Algebra KW - Mathematical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:5463527 AB - A natural sequel to the author's previous book Combinatorial Matrix Theory written with H. J. Ryser, this is the first book devoted exclusively to existence questions, constructive algorithms, enumeration questions, and other properties concerning classes of matrices of combinatorial significance. Several classes of matrices are thoroughly developed including the classes of matrices of 0's and 1's with a specified number of 1's in each row and column (equivalently, bipartite graphs with a specified degree sequence), symmetric matrices in such classes (equivalently, graphs with a specified degree sequence), tournament matrices with a specified number of 1's in each row (equivalently, tournaments with a specified score sequence), nonnegative matrices with specified row and column sums, and doubly stochastic matrices. Most of this material is presented for the first time in book format and the chapter on doubly stochastic matrices provides the most complete development of the topic to date. ER -