On-line vertex-covering

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Abstract

We study the minimum vertex-covering problem under two on-line models corresponding to two different ways vertices are revealed. The former one implies that the input-graph is revealed vertex-by-vertex. The second model implies that the input-graph is revealed per clusters, i.e. per induced subgraphs of the final graph. Under the cluster-model, we then relax the constraint that the choice of the part of the final solution dealing with each cluster has to be irrevocable, by allowing backtracking. We assume that one can change decisions upon a vertex membership of the final solution, this change implying, however, some cost depending on the number of the vertices changed.

Keywords

On-line algorithm
Competitive ratio
Approximation
Graph
Vertex-covering

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An extended abstract of this paper appears in the proceedings of the 28th International Workshop on Graph Theoretical Concepts in Computer Science, WG’02, LNCS 2573.