Generalizations of Finite Metrics and Cuts |
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| Author:
| Deza, M.
Deza, Elena
Dutour Sikiric, Mathieu |
| ISBN: | 978-981-4740-39-5 |
| Publication Date: | Jun 2016 |
| Publisher: | World Scientific Publishing Co Pte Ltd
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| Book Format: | Hardback |
| List Price: | Contact Supplier contact
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Book Description:
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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...
More DescriptionThis 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.