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Generalizations of Finite Metrics and Cuts

Generalizations of Finite Metrics and Cuts by Michel Deza
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This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts.Many research publications on this subject are devoted to different special aspects of the theory of generalized metrics. However, they are disconnected one from other, often written in different mathematical language, consider the same objects from different points of view without analysis of possible connections, etc. In this book we will construct full theory of main classes of finite generalized metrics and their polyhedral aspects.Readership: Students and researchers in discrete geometry, discrete mathematics, computation mathematics, finite geometry and related fields, as well as general audience/amateurs of mathematics.
World Scientific Publishing Company; May 2016
318 pages; ISBN 9789814740418
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Title: Generalizations of Finite Metrics and Cuts
Author: Michel Deza; Elena Deza; Mathieu Dutour Sikiric
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