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Mathematics  2013 

Some possible numbers of edge coverings of a bipartite graph or shortest paths with fixed ends in a space of compact sets in $R^n$

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Abstract:

In this paper we provide a method of finding possible numbers of shortest paths between two points in a space of compact sets in Euclidean space with Hausdorff distance. We also prove that there cannot be some of the numbers of shortest paths, thus expanding previous works [1][2]

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