Article thumbnail

Decision Trees of Algorithms and a Semivaluation to Measure Their Distance

By M. O' Keeffe, H. Pajoohesh and M. Schellekens


AbstractWe use the set Tn of binary trees with n leaves to study decision trees of algorithms. The set Tn of binary trees with n leaves can be ordered by the so called “imbalance” order, where two trees are related in the order iff the second is less “balanced” than the first. This order forms a lattice. We show that this lattice is nonmodular and extend the imbalance lattice with an algebraic operation. The operation corresponds to the extension of a binary tree with new binary trees at the leafs, which reflects the effect of recursive calls in an algorithm on the decision tree and we will characterize as an illustration the decision tree of the insertion sort algorithm.We investigate the semivaluations on the binary trees which is related to the running time of the algorithm

Publisher: Published by Elsevier B.V.
Year: 2006
DOI identifier: 10.1016/j.entcs.2006.04.032
OAI identifier:

Suggested articles

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.