Monday, 1 May 2023

A Graph Adjacency Matrix's Necessary Condition for Representing Transitive Closure | Chapter 8 | Research Highlights in Mathematics and Computer Science Vol. 9

 This work derives the inevitable requirement for an adjacency origin of a directed diagram to represent its transitive conclusion. Hence, it allows computationally very efficient conclusion of whether a likely graph may then represent its transitive conclusion. The requirement is came from a new recursive matrix connection which leads to the perseverance of transitive closure for any supervised graph. The transitive closure condition came from it has the added benefit of designing a measure for how close an adjacency mold is to its transitive plug. The proximity test allows estimating by virtue of what many iterative steps of the recursive origin relations are wanted to find the transitive closure for a given diagram. The current method provides a computational course to calculate the transitive conclusion that is substantially faster than the existent approaches when the number of repetitions is limited.

Author(s) Details:

Marius Orlowski,
Bradley Department of Electrical and Computer Engineering, Virginia Polytechnic Institute and State University, Blacksburg, USA.

Please see the link here: https://stm.bookpi.org/RHMCS-V9/article/view/10415

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