6533b7d7fe1ef96bd1268ccd

RESEARCH PRODUCT

A distance metric on binary trees using lattice-theoretic measures

Jean Marcel Pallo

subject

Binary treeData structureRandom binary treeComputer Science ApplicationsTheoretical Computer ScienceHeight functionCombinatoricsTree structureLattice (order)Signal ProcessingMetric (mathematics)Metric treeComputer Science::DatabasesInformation SystemsMathematics

description

A so called height function which is a strictly antitone supervaluation is defined on binary trees. Via lattice-theoretic results and using the height function, we can define a distance metric on binary trees of size n which can be computed in expected time O(n 3/2 )

https://doi.org/10.1016/0020-0190(90)90088-f