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Fundam. Prikl. Mat., 1999, Volume 5, Issue 4, Pages 1209–1226 (Mi fpm427)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Enlightenment

Theorems of Helly–Gallai's type

V. L. Dol'nikov, S. A. Igonin

P. G. Demidov Yaroslavl State University

Abstract: 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.

Full text: PDF file (809 kB)

Bibliographic databases:
UDC: 514.17+519.1
Received: 01.12.1998

Citation: V. L. Dol'nikov, S. A. Igonin, “Theorems of Helly–Gallai's type”, Fundam. Prikl. Mat., 5:4 (1999), 1209–1226

Citation in format AMSBIB
\Bibitem{DolIgo99}
\by V.~L.~Dol'nikov, S.~A.~Igonin
\paper Theorems of Helly--Gallai's type
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 4
\pages 1209--1226
\mathnet{http://mi.mathnet.ru/fpm427}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1782962}
\zmath{https://zbmath.org/?q=an:0971.52009}


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    This publication is cited in the following articles:
    1. Chelnokov G.R., Dol'nikov V.L., “On Transversals of Quasialgebraic Families of Sets”, J. Comb. Theory Ser. A, 125 (2014), 194–213  crossref  mathscinet  zmath  isi  elib
  • Фундаментальная и прикладная математика
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