Competition graphs and clique dimensions

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10 Citations (Scopus)

Abstract

Here it is proved that for almost all simple graphs over n vertices one needs Ω(n4/3(log n)−4/3) extra vertices to obtain them as a double competition graph of a digraph. on the other hand O(n5/3) extra vertices are always sufficient. Several problems remain open.

Original languageEnglish
Pages (from-to)183-189
Number of pages7
JournalRandom Structures & Algorithms
Volume1
Issue number2
DOIs
Publication statusPublished - 1990

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ASJC Scopus subject areas

  • Software
  • Mathematics(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics

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