Tverberg numbers for cellular bipartite graphs

DOI10.1007/BF01195713zbMath0920.52002MaRDI QIDQ1924906

Oleg Topală, Victor Chepoi

Publication date: 7 September 1999

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

geodesic convexityRadon numberTverberg partitionpartition numbersTverberg numbercellular bipartite graphs

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Other problems of combinatorial convexity (52A37) Helly-type theorems and geometric transversal theory (52A35)

Related Items (1)

Hypercellular graphs: partial cubes without \(Q_3^-\) as partial cube minor

Cites Work

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• Gated sets in metric spaces
• On Eckhoff's conjecture for Radon numbers; or how far the proof is still away
• Ensemble convexes dans les graphes. I: Théoremes de Helly et de Radon pour graphes et surfaces
• Convex sets in graphs. II: Minimal path convexity
• A Radon theorem for Helly graphs
• A Tverberg-type generalization of the Helly number of a convexity space
• Partition numbers for trees and ordered sets
• A canonical decomposition theory for metrics on a finite set
• On generalizations of Radon's theorem and the Ham sandwich theorem
• Tverberg's theorem via number fields
• Cellular bipartite graphs
• A Generalization of Radon's Theorem

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