Polytopes: Abstract, Convex and Computational
By: edited by T. Bisztriczky, P. McMullen, R. Schneider, A. Ivić Weiss
Contributors: McMullen, P.; Schneider, R.; Weiss, A. Ivić
Series: NATO ASI Series, Series C: Mathematical and Physical Sciences, 1389-2185 -- 440; NATO ASI series -- 440.
Publisher: Springer Netherlands; Imprint; Springer
Published: 1994
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 528
ISBN-13: 9789401109246
Other titles: Proceedings of the NATO Advanced Study Institute, Scarborough, Ontario, Canada, August 20--September 3, 1993
Description: 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. <br/> 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. <br/> 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. <br/> For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels. <br/>