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Irrepresentability by multiple intersection, or why the interval number is unbounded

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Publication:1065021
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DOI10.1016/0012-365X(85)90048-2zbMath0576.05030MaRDI QIDQ1065021

Edward R. Scheinerman

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

simplicial complexescurvesinterval numberplanar convex setsd-dimensional boxesk-uniform hypergraphsP-numbersigma-number


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hypergraphs (05C65)


Related Items (5)

Interval numbers of powers of block graphs ⋮ On the interval number of random graphs ⋮ Representations of graphs and networks (coding, layouts and embeddings) ⋮ Grid intersection graphs and boxicity ⋮ Interval graphs and related topics



Cites Work

  • Computing the boxicity of a graph by covering its complement by cointerval graphs
  • Characterizing intersection classes of graphs
  • Random interval graphs
  • A characterization of Robert's inequality for boxicity
  • Intersection graphs of curves in the plane
  • On double and multiple interval graphs
  • Extremal Values of the Interval Number of a Graph
  • Topology of Thin Film RC Circuits
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