Some Properties of Graphs of Diameters

被引:0
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作者
V. L. Dol'nikov
机构
[1] Yaroslavl State University,
[2] Sovetskaya Str. 14,undefined
[3] Yaroslavl 150000,undefined
[4] Russia dolnikov@univ.uniyar.ac.ru,undefined
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关键词
Banach Space; Euclidean Space; Common Vertex; Convex Metrics;
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摘要
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.
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页码:293 / 300
页数:7
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