Some Properties of Graphs of Diameters |
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| Authors: | V. L. Dol'nikov |
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| Affiliation: | (1) Yaroslavl State University, Sovetskaya Str. 14, Yaroslavl 150000, Russia dolnikov@univ.uniyar.ac.ru, RU |
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| Abstract: | The main result of this paper is as follows. Any two cycles of odd lengths of the graph of diameters G in three-dimensional Euclidean space have a common vertex. Some properties of graphs of diameters in two-dimensional Banach spaces with strictly convex metrics are also established. Applications are given. Received December 28, 1998, and in revised form September 10, 1999. Online publication May 15, 2000. |
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