Polytopes: Abstract, Convex and Computational

Bisztriczky, Tibor; McMullen, Peter; Schneider, Rolf; Weiss, Asia Ivic

The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject.
The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex.
With polytopes as the main topic of interest, there are articles on realizations, classifications, Eulerian posets, polyhedral subdivisions, generalized stress, the Brunn--Minkowski theory, asymptotic approximations and the computation of volumes and mixed volumes.
For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels.

Details

Published by: Springer

Publication Date: 1994-07-31

Format: Hardcover

ISBN-13: 9780792330165

DOI: 10.1007/978-94-011-0924-6

Dimensions: 235.0cm x155.0cm

Pages: 507.0