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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2013 Volume 18, Issue 1, Pages 171–180 (Mi fpm1493)

One problem on geometric Ramsey numbers

M. V. Titova

Lomonosov Moscow State University, Moscow, Russia

Abstract: We give an overview of results on the Ramsey distance number $R_\mathrm{NEH}(s,t,d)$. 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.

UDC: 519.154+519.176


 English version:
Journal of Mathematical Sciences (New York), 2014, 201:4, 527–533

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© Steklov Math. Inst. of RAS, 2026