FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 1, PAGES 171-180

One problem on geometric Ramsey numbers

M. V. Titova

Abstract

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We give an overview of results on the Ramsey distance number RNEH(s,t,d). This value shows the frequency of the following event: a graph with a fixed number of vertices has an induced subgraph isomorphic to a distance graph in a space of certain dimension.

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Last modified: September 5, 2013