This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics.
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.
Michel Deza is Director of Research at CNRS, Director of the Laboratoire interdisciplinaire de g om trie appliqu e, and a Professor at Ecole Normale Sup rieure, Paris. He is Editor-in-chief of the European Journal of Combinatorics and this is his 12th book.
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