Skip to main content
Log in

A clique-detection algorithm based on neighborhoods in graphs

  • Published:
International Journal of Computer & Information Sciences Aims and scope Submit manuscript

Abstract

The notion of cliques is the logical starting point for a broad class of clustering problems. Algorithms for the identification of the cliques of a graph are of great importance in automatic classification by computer. This paper presents an approach which proceeds recursively from the given graph downward through a chain of subgraphs. The proposed approach permits the removal of more than a single point in the progression from one subgraph to the next, thus reducing the number of iterations required for completion.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. G. Augustson and J. Minker, “An analysis of some graph theoretical cluster techniques,”J. ACM 17(4):571–588 (1970).

    Google Scholar 

  2. A. R. Bednarek and O. E. Taulbee, “On maximal chains,”Rev. Roum. Math. Pures et Appl. XI(1):23–25 (1966).

    Google Scholar 

  3. R. E. Bonner, “On some clustering techniques,”IBM J. Res. Develop. 8(1):22–32 (1964).

    Google Scholar 

  4. C. C. Gotlieb and S. Kumar, “Semantic clustering of index terms,”J. ACM 15(4):493–513 (1968).

    Google Scholar 

  5. F. Harary,Graph Theory (Addison-Wesley, Reading, Mass. 1969).

    Google Scholar 

  6. N. Jardine and R. Sibson, “The construction of hierarchic and non-hierarchic classifications,”Comp. J. 11:177–184 (1968).

    Google Scholar 

  7. J. Moon and L. Moser, “On cliques in graphs,”Israel J. Math. 3 (March):23–28 (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported by the Army Research Office—Durham under Grant Number DA-ARO-D-31-124-70-G92.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Osteen, R.E., Tou, J.T. A clique-detection algorithm based on neighborhoods in graphs. International Journal of Computer and Information Sciences 2, 257–268 (1973). https://doi.org/10.1007/BF00985661

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00985661

Keywords

Navigation