6533b827fe1ef96bd128640c

RESEARCH PRODUCT

Two shortest path metrics on well-formed parentheses strings

Jean PalloChristian Germain

subject

CombinatoricsLattice (order)Signal ProcessingMetric (mathematics)Shortest path problemTime complexityComputer Science ApplicationsInformation SystemsTheoretical Computer ScienceMathematics

description

We present an analysis of two transformations on well-formed parentheses strings. Using a lattice approach, the corresponding least-move distances are computable, the first in linear time and the second in quadratic time.

https://doi.org/10.1016/s0020-0190(96)00180-9