A counterexample for the proof of implication conjecture on independent spanning trees

  • Authors:
  • Abishek Gopalan;Srinivasan Ramasubramanian

  • Affiliations:
  • -;-

  • Venue:
  • Information Processing Letters
  • Year:
  • 2013

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Abstract

Khuller and Schieber (1992) in [1] developed a constructive algorithm to prove that the existence of k-vertex independent trees in a k-vertex connected graph implies the existence of k-edge independent trees in a k-edge connected graph. In this paper, we show a counterexample where their algorithm fails.