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The Cartographer
Cartesian Forest Matching
June 03, 2025 Β· Declared Dead Β· π arXiv.org
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Authors
Bastien Auvray, Julien David, Richard Groult, Thierry Lecroq
arXiv ID
2506.02704
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
In this paper, we introduce the notion of Cartesian Forest, which generalizes Cartesian Trees, in order to deal with partially ordered sequences. We show that algorithms that solve both exact and approximate Cartesian Tree Matching can be adapted to solve Cartesian Forest Matching in average linear time. We adapt the notion of Cartesian Tree Signature to Cartesian Forests and show how filters can be used to experimentally improve the algorithm for the exact matching. We also show a one to one correspondence between Cartesian Forests and SchrΓΆder Trees.
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