Improved approximation of maximum vertex cover

  • Authors:
  • Anna Galluccio;Paolo Nobili

  • Affiliations:
  • Instituto di Analisi dei Sistemi ed Informatica "A. Ruberti" - CNR, Viale Manzoni 30, 00185 Roma, Italy;Dipartimento di Matematica, Universití di Lecce, via Arnesano, 73100 Lecce and IASI-CNR, Italy

  • Venue:
  • Operations Research Letters
  • Year:
  • 2006

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Abstract

We provide a new LP relaxation of the maximum vertex cover problem and a polynomial-time algorithm that finds a solution within the approximation factor 1-1/(2q@?), where q@? is the size of the smallest clique in a given clique-partition of the edge weighting of G.