On the existence of k edge-disjoint 2-connected spanning subgraphs

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Abstract

We prove that every 6k-connected graph contains k edge-disjoint rigid (and hence 2-connected) spanning subgraphs. By using this result we can settle special cases of two conjectures, due to Kriesell and Thomassen, respectively: we show that every 12-connected graph G has a spanning tree T for which G - E(T) is 2-connected, and that every 18-connected graph has a 2-connected orientation.

Original languageEnglish
Pages (from-to)257-262
Number of pages6
JournalJournal of Combinatorial Theory. Series B
Volume95
Issue number2
DOIs
Publication statusPublished - Nov 1 2005

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Keywords

  • 2-connected orientation
  • Connectivity of graphs
  • Rigidity matroid

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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