On the number of transitive relations on a set

Firdous Ahmad Mala ()
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Firdous Ahmad Mala: Govt. Degree College Sopore

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 1, 228-232

Abstract: Abstract There is no known formula that counts the number of transitive relations on a set with n elements. In this paper, it is shown that no polynomial in n with integer coefficients can represent a formula for the number of transitive relations on a set with n elements. Several inequalities giving various useful recursions and lower bounds on the number of transitive relations on a set are also proved.

Keywords: Combinatorics; Enumeration; Transitive relations (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00100-0

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