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Generalizations of finite metrics and cuts

Author: Elena Deza; M Deza; Mathieu Dutour Sikirić
Publisher: New Jersey : World Scientific, [2016]
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics.

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Document Type: Book
All Authors / Contributors: Elena Deza; M Deza; Mathieu Dutour Sikirić
ISBN: 9789814740395 981474039X
OCLC Number: 933585214
Description: xiii, 303 pages : illustrations ; 25 cm
Contents: Short preview of the book --
Main definitions --
Non-oriented case: metrics --
Oriented case: quasi-metrics --
Multidimensional case: m-metrics --
Important special case: partial metrics and weightable quasi-metrics --
Cuts and their generalizations --
Hypermetrics and their generalizations --
Non-oriented case: semietrics and cuts --
Oriented case: quasi-semimetrics and oriented cuts --
Multidimensional case: m-hemimetrics --
Cones of partial semimetrics and weightable quasi-semimetrics --
Cones of hypermetrics --
Cuts over general graphs --
Connections between generalized metrics polyhedra.
Responsibility: Elena Deza, Michel Deza, Mathieu Dutour Sikirić.

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