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Distance monotone graphs and a new characterization of hypercubes. (English) Zbl 0768.05033

Summary: The aim of this paper is to study the class of s.c. distance monotone graphs which arise naturally when investigating some intersection properties of graphs. A new characterization of hypercubes is also obtained.

MSC:

05C12 Distance in graphs
05C75 Structural characterization of families of graphs
05C65 Hypergraphs
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References:

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