On the Integrality Gap of the 2-Edge Connected Subgraph Problem ∗

  title={On the Integrality Gap of the 2-Edge Connected Subgraph Problem ∗},
  author={A. Alexander and Sylvia C. Boyd and Paul Elliott-Magwood},
Given a complete graph on n vertices with nonnegative edge costs, the 2-edge connected subgraph problem (2EC) is that of finding a 2-edge connected multi-subgraph of minimum cost. The linear programming relaxation of this problem (2EC ) provides a lower bound for 2EC, and its study provides a promising direction for finding improved solutions for 2EC. It has been conjectured that the integrality gap α2EC between 2EC and 2EC is 4 3 . Note that this is closely related to the well-known conjecture… CONTINUE READING
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