Generalizations Of Finite Metrics And Cuts

Michel-marie Deza (Ecole Normale Superieure, Paris, France),Mathieu Dutour Sikiric (Rudjer Boskovic Inst, Croatia),Elena Deza (Pedagogical Moscow State University, Russia)

Generalizations Of Finite Metrics And Cuts
Format
Hardback
Publisher
World Scientific Publishing Co Pte Ltd
Country
Singapore
Published
24 June 2016
Pages
320
ISBN
9789814740395

Generalizations Of Finite Metrics And Cuts

Michel-marie Deza (Ecole Normale Superieure, Paris, France),Mathieu Dutour Sikiric (Rudjer Boskovic Inst, Croatia),Elena Deza (Pedagogical Moscow State University, Russia)

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.

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