Title
Improved Labeling Scheme for Ancestor Queries
Abstract
We present a labeling scheme for rooted trees that sup- ports ancestor queries. Given a tree, the scheme ~ssigns to each node a label which is a binary string. Given the labels of any two nodes u and v, it can in constant time be determined whether u is ancestor to v alone from these labels. For trees of size n our scheme assigns labels of size bounded by log n + O(~) bits to each node. This improves a recent result of Abiteboul, Kaplan and Milo at SODA'01, where a labeling scheme with labels of size 3/21ogn + O(loglogn) was presented. The problem is among other things motivated in connection with efficient representation of information for XML-based search en- gines for the internet.
Year
DOI
Venue
2002
10.5555/545381.545504
symposium on discrete algorithms
Keywords
Field
DocType
log log n,rooted tree,xml-based search engine,constant time,ancestor query,recent result,nodes u,log n,binary string,efficient representation,algorithms,knots,implementation,proteins,computational topology,winding number,search engine,differential geometry
Discrete mathematics,Binary logarithm,Combinatorics,Search engine,XML,Binary strings,Ancestor,Knot (unit),Mathematics,Computational topology,Bounded function
Conference
ISBN
Citations 
PageRank 
0-89871-513-X
50
2.57
References 
Authors
15
2
Name
Order
Citations
PageRank
Stephen Alstrup165742.60
Theis Rauhe266135.11