Algorithms for Secretary Problems on Graphs and Hypergraphs

@inproceedings{Korula2009AlgorithmsFS,
  title={Algorithms for Secretary Problems on Graphs and Hypergraphs},
  author={Nitish Korula and Martin P{\'a}l},
  booktitle={ICALP},
  year={2009}
}
We examine several online matching problems, with applicat ions to Internet advertising reservation systems. Consider an edge-weighted bipartite graph G, with partite setsL, R. We develop an8-competitive algorithm for the following secretary problem: Initially g iven R, and the size of L, the algorithm receives the vertices ofL sequentially, in a random order. When a vertex l ∈ L is seen, all edges incident to l are revealed, together with their weights. The algorithm must i mmediately either… CONTINUE READING
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