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On optimal embeddings of metrics in graphs
Authors:Wilfried Imrich  J.M.S Simões-Pereira  Christina M Zamfirescu
Affiliation:1. Department of Computer Science, Hunter College of The City University of New York, 965 Park Avenue, New York, New York 10021 USA;2. The Graduate School of The City University of New York, 965 Park Avenue, New York, New York 10021 USA
Abstract:
This paper extends previous results of the authors. In particular, non-treerealizable metrics are investigated and it is shown that every finite metric has an optimal realization by a graph.
Keywords:
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