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dc.contributor.authorAndrica, Dorin
dc.contributor.authorBagdasar, Ovidiu
dc.date.accessioned2018-12-17T14:15:59Z
dc.date.available2018-12-17T14:15:59Z
dc.date.issued2018-12-06
dc.identifier.citationAndrica, 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.2018.11.001en
dc.identifier.issn1571-0653
dc.identifier.doi10.1016/j.endm.2018.11.001
dc.identifier.urihttp://hdl.handle.net/10545/623231
dc.description.abstractPartitions 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.
dc.description.sponsorshipO. Bagdasar’s research was supported by a grant of the Roma- nian National Authority for Research and Innovation, CNCS/CCCDI UEFISCDI, project number PN-III-P2-2.1-PED-2016-1835, within PNCDI III.en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofseriesProceedings of TCDM'2018en
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S1571065318301963en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectMultiseten
dc.subject3-partition of a multiseten
dc.subjectGenerating functionen
dc.subjectAsymptotic formulaen
dc.subject3-signum equationen
dc.titleSome remarks on 3-partitions of multisets.en
dc.typeArticleen
dc.contributor.departmentBabeş-Bolyai Universityen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalElectronic Notes in Discrete Mathematicsen
html.description.abstractPartitions 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.


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