Graphs and k-Societies
- 1 September 1970
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 13 (3) , 375-381
- https://doi.org/10.4153/cmb-1970-071-3
Abstract
A graph G is a couple (X, R) where X is a set, R ⊂ X × X. If G is an undirected graph without loops (R a symmetric irreflexive relation), we can interpret G as a couple (X, R), where R is a set of two-element subsets of X, i.e. . This interpretation is generalized in the notion of society.A society is a couple (X, R), where ; a k-society is a society (X, R) with |A| = k for each A ∊ R.Keywords
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