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Fundamentalnaya i Prikladnaya Matematika, 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
Full-text PDF (809 kB) Citations (1)
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.
Received: 01.12.1998
Bibliographic databases:
Document Type: Popular science or education materials
UDC: 514.17+519.1
Language: Russian
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://mathscinet.ams.org/mathscinet-getitem?mr=1782962}
\zmath{https://zbmath.org/?q=an:0971.52009}
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  • https://www.mathnet.ru/eng/fpm/v5/i4/p1209
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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