Some remarks on 3-partitions of multisets.

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Authors
Andrica, Dorin
Bagdasar, Ovidiu
Affiliation
Babeş-Bolyai University
University of Derby
Issue Date
2018-12-06

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Abstract
Partitions play an important role in numerous combinatorial optimization problems. Here we introduce the number of ordered 3-partitions of a multiset M having equal sums denoted by S(m1, ..., mn; α1, ..., αn), for which we find the generating function and give a useful integral formula. Some recurrence formulae are then established and new integer sequences are added to OEIS, which are related to the number of solutions for the 3-signum equation.
Citation
Andrica, D., and Bagdasar, O. (2018) ‘Some remarks on 3-partitions of multisets’, Electronic Notes in Discrete Mathematics, 70, pp. 1-8. doi: 10.1016/j.endm.2018.11.001
Publisher
Elsevier
Journal
Electronic Notes in Discrete Mathematics
URI
http://hdl.handle.net/10545/623231
DOI
10.1016/j.endm.2018.11.001
Additional Links
http://www.sciencedirect.com/science/article/pii/S1571065318301963
Type
Article
Language
en
Series/Report no.
Proceedings of TCDM'2018
ISSN
1571-0653
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