FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 4, PAGES 1209-1226
V. L. Dol'nikov
S. A. Igonin
Abstract
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In this paper different generalizations of Helly's theorem for families
of sets defined by systems of equations are presented. We investigate
the existence problem of a $k$ -element set, which has non-empty
intersection with any member of such family. Applications to combinatorics
and combinatorial geometry are given.
All articles are published in Russian.
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Last modified: December 9, 1999