Abstract
We present new results on Cartesian trees with applications in range minimum queries and bottleneck edge queries. We introduce a cache-oblivious Cartesian tree for solving the range minimum query problem, a Cartesian tree for the bottleneck edge query problem on trees and undirected graphs, and a proof that no Cartesian tree exists for the two-dimensional version of the range minimum query problem.
Original language | English |
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Pages (from-to) | 610-625 |
Number of pages | 16 |
Journal | Algorithmica |
Volume | 68 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2014 |
Bibliographical note
Funding Information:G.M. Landau is partially supported by the National Science Foundation Award 0904246, Israel Science Foundation grant 347/09, Yahoo, Grant No. 2008217 from the United States-Israel Binational Science Foundation (BSF) and DFG.
Keywords
- Bottleneck paths
- Cache-oblivious
- Cartesian tree
- Lowest common ancestor
- Minimum spanning tree verification
- Partial sums
- Range minimum query
ASJC Scopus subject areas
- General Computer Science
- Computer Science Applications
- Applied Mathematics