A method of matrix analysis of group structure

@article{Luce1949AMO,
  title={A method of matrix analysis of group structure},
  author={R. Duncan Luce and Albert D. Perry},
  journal={Psychometrika},
  year={1949},
  volume={14},
  pages={95-116}
}
Matrix methods may be applied to the analysis of experimental data concerning group structure when these data indicate relationships which can be depicted by line diagrams such as sociograms. One may introduce two concepts,n-chain and clique, which have simple relationships to the powers of certain matrices. Using them it is possible to determine the group structure by methods which are both faster and more certain than less systematic methods. This paper describes such a matrix method and… 

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References

Connectivity and generalized cliques in sociometric group structure

  • R. Luce
  • Mathematics
    Psychometrika
  • 1950
TLDR
A generalized concept of clique, called ann-clique, is introduced and n-cliques are shown to have a very close relationship to the existence of cliques in an artificial structure defined on the same set of elements, thus permitting the determination ofn-Cliques by means of the same simple matrix procedures used to obtain the clique structures.