02696 a2200313 4500010001700000020001800017020001500035050001200050082001000062090001700072100002000089546000800109245003400117250001400151260004800165300003100213490003100244500005900275500003700334505063100371520094201002650001301944830003101957856009101988856008802079942002602167952017202193999001702365 a 2009048800 a9780486474397 a048647439900aQA166.600a511.6 c31577d315771 aWelsh, D. J. A. aeng10aMatroid theory cD.J.A. Welsh aDover ed. aMineola, N.Y. :bDover Publications,c2010. axi, 433 p. bill. ;c22 cm1 aDover Books on Mathematics aOriginally published: New York : Academic Press, 1976. aBibliografie p. 402
Index p. 4230 aFundamental concepts and examples -- Duality -- Lattice theory and matroids -- Submatroids -- Matroid connection -- Matroids, graphs and planarity -- Transversal theory -- Covering and packing -- The vector representation of matroids -- Binary matroids -- Matroids from fields and groups -- Block designs and matroids -- Menger's theorem and linkings in graphs -- Transversal matroids and related topics -- Polynomials, colouring problems, codes and packings -- Extremal problems -- Maps between matroids and geometric lattices -- Convex polytopes associated with matroids -- Combinatorial optimisation -- Infinite structures. a"The theory of matroids connects disparate branches of combinatorial theory and algebra such as graph and lattice theory, combinatorial optimization, and linear algebra. Aimed at advanced undergraduate and graduate students, this text is one of the earliest substantial works on matroid theory. Its author, D. J. A. Welsh, Professor of Mathematics at Oxford University, has exercised a profound influence over the theory's development. The first half of the text describes standard examples and investigation results, using elementary proofs to develop basic matroid properties and referring readers to the literature for more complex proofs. The second half advances to a more sophisticated treatment, addressing a variety of research topics. Praised by the Bulletin of the American Mathematical Society as 'a useful resource for both the novice and the expert', this text features numerous helpful exercises."--Publisher's description. 0aMatroids 0aDover books on mathematics423Publisher descriptionuhttp://www.loc.gov/catdir/enhancements/fy1004/2009048800-d.html413Table of contents uhttp://www.loc.gov/catdir/enhancements/fy1318/2009048800-t.html aIMARcCARTk511.6sEP 00104070aIMARbIMARd2024-03-21eBlack Cat Books SRLg144.53iMcc 9639l2o511.6-WELp0034898q2020-03-04r2024-03-29 01:05:39s2024-03-29t1w2024-03-21yCARTkACQ c31139d31139