Tree pattern matching to subset matching in linear time

Richard Cole, Ramesh Hariharan

Research output: Contribution to journalArticle

Abstract

In this paper, we show an O(n + m) time Turing reduction from the tree pattern matching problem to another problem called the subset matching problem. Subsequent works have given efficient deterministic and randomized algorithms for the subset matching problem. Together, these works yield an O (n log 2 m + m) time deterministic algorithm and an O(n log n + m) time Monte Carlo algorithm for the tree pattern matching problem.

Original language English (US) 1056-1066 11 SIAM Journal on Computing 32 4 https://doi.org/10.1137/S0097539700382704 Published - Jun 2003

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Pattern matching
Pattern Matching
Matching Problem
Linear Time
Subset
Deterministic Algorithm
Set theory
Monte Carlo Algorithm
Turing
Randomized Algorithms
Efficient Algorithms

Keywords

• Subset matching
• Tree pattern matching

ASJC Scopus subject areas

• Theoretical Computer Science
• Computational Theory and Mathematics
• Applied Mathematics

Cite this

Tree pattern matching to subset matching in linear time. / Cole, Richard; Hariharan, Ramesh.

In: SIAM Journal on Computing, Vol. 32, No. 4, 06.2003, p. 1056-1066.

Research output: Contribution to journalArticle

Cole, Richard ; Hariharan, Ramesh. / Tree pattern matching to subset matching in linear time. In: SIAM Journal on Computing. 2003 ; Vol. 32, No. 4. pp. 1056-1066.
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