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On a generalization of distance sets

โœ Scribed by Hiroshi Nozaki; Masashi Shinohara


Book ID
108167298
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
262 KB
Volume
117
Category
Article
ISSN
0097-3165

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A distinct distance set (DD set) for a graph G is a vertex subset of G with the property that for ISI = s, we have (~) distinct distances of the pairs of vertices in S. In this article, it is shown that (a) For 6 ~< k ~< 18 there exists a tree T with DD(T) = k and din(T) = LB(k) < B~(Kk). where LB(