Minimally k-edge-connected directed graphs of maximal size

Alex R. Berg, Tibor Jordán

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let D=(V,E) be a minimally k-edge-connected simple directed graph. We prove that there is a function f(k) such that |V|≥f(k) implies |E|≤2k(|V|-k). We also determine the extremal graphs whose size attains this upper bound.

Original languageEnglish
Pages (from-to)39-50
Number of pages12
JournalGraphs and Combinatorics
Volume21
Issue number1
DOIs
Publication statusPublished - Mar 1 2005

Keywords

  • Directed graphs
  • Edge-connectivity
  • Minimally k-edge-connected

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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