Journal of Integer Sequences, Vol. 7 (2004), Antichains of Multisets Goran...  Home/Search
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Abstract: The problem of enumeration of m-antichains of k-bounded multisets on an n-set is considered. A formula for calculating the cardinality of the corresponding family in terms of the graph theory was obtained. A more general case of multiantichains is also considered. As an illustration the corresponding explicit formulas are given for the case when 1 m 4, k 1 and n 0. (Update)
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BibTeX entry: (Update)
@misc{ integer-article,
author = "Journal Of Integer",
title = "Article 04.1.5",
url = "citeseer.ist.psu.edu/690888.html" }
Citations (may not include all citations):474 Graph Theory (context) - Harary - 1969
65 Combinatorial Identities (context) - Riordan - 1968
61 Combinatorial Theory (context) - Aigner - 1979
42 Lattice Theory (context) - Birkho - 1967
1 Program Nauty for computing automorphism groups of graphs (context) - McKay - 2000
1 The number of antichains of nite power sets (context) - Cvetkovi - 1972
1 Anticadenas en conjuntos ordenados (context) - Arocha - 1987
1 The number of antichains of the length 5 and (context) - Arocha - 1982
1 the number of monotone Boolean functions with xed number of .. (context) - Kilibarda, Jovovi et al. - 2003
1 Ueber Zerlegungen von Zahlen durch ihre grossten gemeinsame.. (context) - Dedekind
1 Recursive formulas on free distributive lattices (context) - Riviere - 1968
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