Geodesic
Combinatorial problems connected with P. Hall's collection process
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 873-889

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Let $M_1, \ldots, M_r$ be nonempty subsets of any totally ordered set. Imposing some restricitons on these subsets, we find an expression for the number of elements $(\lambda_1, \ldots, \lambda_r) \in M_1 \times \cdots \times M_r$ that satisfy the condition $C$, where $C$ is a propositional formula consisting of such conditions as $\lambda_i=\lambda_j$, $\lambda_i<\lambda_j$, $i,j \in \overline{1,r}$.
Keywords: collection process, Cartesian product, binary weight. 
V. M. Leontiev. Combinatorial problems connected with P. Hall's collection process. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 873-889. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a15/
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