26
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Complexity and performance of a graph theory algorithm for cluster analysisFootnote

, , , &
Pages 41-50 | Received 01 Dec 1981, Published online: 19 Mar 2007
 

Abstract

In a recent paper an algorithm for generating maximal minimally strongly connected subgraphs or cliques in undirected graphs has been proposed by Das et al This algorithm is based on a refinement of the technique of successive splitting described by Pauli and Unger in the determination of maximal compatibles of states in the context of minimization of incomplete sequential machines. The present paper discusses the implementation of the above subgraph generation algorithm in a Cyber System 172 using FORTRAN IV, and attempts to evaluate its performance characteristics as well as complexity for both small and large graphs, with particular reference to cluster analysis.

C.R. Categories:

†This research was supported in part by the National Science Council of the Republic of China.

‡Sunil R. Das was formerly with the Department of Electrical Engineering, Faculty of Science and Engineering, University of Ottawa, Ottawa, Ontario, Canada, and with the Institute of Radiophysics and Electronics, University of Calcutta, Calcutta, West Bengal, India.

†This research was supported in part by the National Science Council of the Republic of China.

‡Sunil R. Das was formerly with the Department of Electrical Engineering, Faculty of Science and Engineering, University of Ottawa, Ottawa, Ontario, Canada, and with the Institute of Radiophysics and Electronics, University of Calcutta, Calcutta, West Bengal, India.

Notes

†This research was supported in part by the National Science Council of the Republic of China.

‡Sunil R. Das was formerly with the Department of Electrical Engineering, Faculty of Science and Engineering, University of Ottawa, Ottawa, Ontario, Canada, and with the Institute of Radiophysics and Electronics, University of Calcutta, Calcutta, West Bengal, India.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.