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On Sets Represented by Partitions

✍ Scribed by Jean-Christophe Aval


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
58 KB
Volume
20
Category
Article
ISSN
0195-6698

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✦ Synopsis


We prove a lemma that is useful for obtaining upper bounds for the number of partitions without a given subsum. From this we can deduce an improved upper bound for the number of sets represented by the (unrestricted or into unequal parts) partitions of an integer n.


πŸ“œ SIMILAR VOLUMES


On abab-free and abba-free Set Partition
✍ Martin Klazar πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 341 KB

These are partitions of [ l ] Ο­ Ν• 1 , 2 , . . . , l Ν– into n blocks such that no four-term subsequence of [ l ] induces the mentioned pattern and each k consecutive numbers of [ l ] fall into dif ferent blocks . These structures are motivated by Davenport -Schinzel sequences . We summarize and exten