Generalizations of Finite Metrics and Cuts

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.

Author: Elena Deza, M. Deza, Mathieu Dutour Sikiric

Publisher: World Scientific Publishing Company

Publication Date: Jun 24, 2016

Number of Pages: NA pages

Language: English

Binding: Hardcover

ISBN-10: 981474039X

ISBN-13: 9789814740395