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A Note on Uniquely lntersectable Graphs

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The following conjecture of Alter and Wang is proven. Consider the intersection graph Gn,m ,n2m, determined by the family of all m‐element subsets of an n‐element set. Then any realization of Gn,m as an intersection graph by a family of sets satisfies |∪ iAi |n; and if |∪ iAi |=n, then F must be the family of all m‐element subsets of ∪ iAi .
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Document Type: Research Article

Affiliations: University of Kentucky

Publication date: December 1, 1976

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