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Book Synopsis
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.

Generalizations Of Finite Metrics And Cuts

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A Hardback by Michel-marie Deza, Mathieu Dutour Sikiric, Elena Deza

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    View other formats and editions of Generalizations Of Finite Metrics And Cuts by Michel-marie Deza

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 24/06/2016
    ISBN13: 9789814740395, 978-9814740395
    ISBN10: 981474039X
    Also in:
    Combinatorics and graph theory Discrete mathematics

    Description

    Book Synopsis
    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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