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- Elsevier Science 2014; US$ 72.95
Matroid Decomposition deals with decomposition and composition of matroids. The emphasis is on binary matroids, which are produced by the matrices over the binary field GF(2). Different classes of matroids are described (graphic, regular, almost regular, max-flow min-cut), along with polynomial testing algorithms. Representative applications and, except... more...
- Springer New York 2013; US$ 54.99
Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences.Matroid theory is at the heart of combinatorial optimization and has attracted various pioneers such as Edmonds, Tutte, Cunningham and Lawler among others. Matroid theory encompasses matrices, graphs and other combinatorial entities... more...
- Springer Berlin Heidelberg 2011; US$ 69.95
Lectures: T.H. Brylawski: The Tutte polynomial.- D.J.A. Welsh: Matroids and combinatorial optimisation.- Seminars: M. Barnabei, A. Brini, G.-C. Rota: Un?introduzione alla teoria delle funzioni di Möbius.- A. Brini: Some remarks on the critical problem.- J. Oxley: On 3-connected matroids and graphs.- R. Peele: The poset of subpartitions and... more...
- Springer Berlin Heidelberg 2009; US$ 189.00
This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the last decade. A mixed matrix is a convenient mathematical tool for systems analysis, compatible with the physical observation that "fixed constants" and "system parameters" are to... more...
- Elsevier Science 2005; US$ 146.00
It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication of the 1st edition of this book fifteen years ago, submodular functions have been showing further increasing importance in optimization, combinatorics, discrete mathematics, algorithmic computer... more...
- Elsevier Science 1991; US$ 72.95
The importance of submodular functions has been widely recognized in recent years in combinatorial optimization. This is the first book devoted to the exposition of the theory of submodular functions from an elementary technical level to an advanced one. A unifying view of the theory is shown by means of base polyhedra and duality for submodular and... more...