Matroid Theory and its Applications

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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 Cayley’s formula for the complexity of a complete graph.- A. Recski: Engineering applications of matroids.- T. Zaslavisky: Voltage-graphic matroids.

Author(s): Marilena Barnabei, Andrea Brini, Gian-Carlo Rota (auth.), A. Barlotti (eds.)
Series: C.I.M.E. Summer Schools 83
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011

Language: English-Italian
Pages: 424
Tags: Convex and Discrete Geometry

Front Matter....Pages i-iii
Un'Introduzione Alla Teoria Delle Funzioni Di Möbius....Pages 1-104
Some Remarks on the Critical Problem....Pages 111-124
The Tutte Polynomial Part I: General Theory....Pages 125-275
On 3-Connected Matroids and Graphs....Pages 277-288
The Poset of Subpartitions and Cayley's Formula for the Complexity of a Complete Graph....Pages 289-297
Engineering Applications of Matroids - A Survey....Pages 300-321
Matroids and Combinatorial Optimisation....Pages 323-416
Voltage-Graphic Matroids....Pages 417-424