Compact labeling schemes for ancestor queries

  title={Compact labeling schemes for ancestor queries},
  author={Serge Abiteboul and Haim Kaplan and Tova Milo},
We consider the following problem. Give a rooted tree T, label the nodes of T in the most compact way such that given the labels of two nodes one can determine in constant time, by looking only at the labels, if one node is an ancestor of the other. The best known labeling scheme is rather straightforward and uses labels of size at most 2 log n, where n is the number of vertices In the tree. Our main result in this paper is a labeling scheme with maximum label size close to 3/2 log n. Our… CONTINUE READING
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