Fast algorithm for computing transitive relation

Ping Sung Liao; Tse Sheng Chen; Pau-Choo Chung

doi:10.1080/00207169908804770

Fast algorithm for computing transitive relation

Ping Sung Liao, Tse Sheng Chen, Pau-Choo Chung

Institute of Computer and Communication Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The transitive relation of a finite set S with size |S| = n is verified quickly by the relational inequality M²≤M that needs 2n³ computations. In this paper, a table oriented audit method based on message passing protocol only needs 2 ∑_node ^{n = node} = i_node·O_node computations to conduct the verification of transitive relation and it is always less than the relational inequality.

Original language	English
Pages (from-to)	495-504
Number of pages	10
Journal	International Journal of Computer Mathematics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1080/00207169908804770
Publication status	Published - 1999 Jan 1

All Science Journal Classification (ASJC) codes

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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