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Algorithm to assist in finding the Complete Sub-graphs of a Given Graph

Abstract

LET the operation M, applied to a graph G, have the effect of removing from G all lines which are not members of at least one K3 (a complete graph or sub-graph having three points, that is, a triangle). The new graph MG consists entirely of triangles, and it will be unchanged by a second application of the operator M. M2G = MG.

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References

  1. Rosenblatt, D., Naval Res. Logist. Quart., 4, 151 (1957).

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MEETHAM, A. Algorithm to assist in finding the Complete Sub-graphs of a Given Graph. Nature 211, 105 (1966). https://doi.org/10.1038/211105a0

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