Now showing items 1-3 of 3
The number of ways to label a structure
(Springer-Verlag; Psychometric Society, 1967-06)
It has been observed that the number of different ways in which a graph with p points can be labelled is p ! divided by the number of symmetries, and that this holds regardless of the species of structure at hand. In this ...
The probability of a given 1-choice structure
(Springer-Verlag; Psychometric Society, 1966-06)
A 1-choice structure arises whenever each person in a group chooses exactly one other person according to some criterion. Our purpose is to study the situation in which these choices are made at random. As noted in Harary, ...
A graph theoretic approach to similarity relations
(Springer-Verlag; Psychometric Society, 1964-06)
A similarity relation is reflexive and symmetric. A graph may be regarded as a geometric representation of an irreflexive symmetric relation; an r -graph then coincides with a similarity relation. For the realization of ...