| Author dc.contributor.author | Beáta Bényi | |
| Author dc.contributor.author | Gábor V Nagy | |
| Availability Date dc.date.accessioned | 2023-02-20T10:05:59Z | |
| Availability Date dc.date.available | 2023-02-20T10:05:59Z | |
| Release dc.date.issued | 2018 | |
| Issn dc.identifier.issn | 1090-2074 | |
| Issn dc.identifier.issn | 0196-8858 | |
| uri dc.identifier.uri | http://hdl.handle.net/20.500.12944/20025 | |
| Abstract dc.description.abstract | We construct a new bijection between the set of n × k 0–1 matrices with no three 1’s forming a ? configuration and the set of ( n, k )-Callan sequences, a simple structure counted by poly-Bernoulli numbers. We give two applications of this result: We derive the generating function of ?-free matrices, and we give a new bijective proof for an elegant result of Ava l et al. that states that the number of complete non- ambiguous forests with n leaves is equal to the number of pairs of permutations of { 1 , ..., n } with no common rise. | |
| Language dc.language | en | |
| Keywords dc.subject | ?-free matrix | |
| Keywords dc.subject | Non-ambiguous forest | |
| Title dc.title | Bijective enumerations of ?-free 0–1 matrices | |
| Type dc.type | folyóiratcikk | |
| Date Change dc.date.updated | 2023-02-15T16:44:11Z | |
| Version dc.description.version | postprint | |
|
dc.rights.accessRights | nyílt hozzáférésű | |
|
dc.description.notes | Cited By :5 Export Date: 20 July 2022 Correspondence Address: Nagy, G.V.; Bolyai Institute, Hungary; email: ngaba@math.u-szeged.hu Funding details: European Commission, EC, EFOP-3.6.1-16-2016-00008 Funding details: Erzincan Üniversitesi, EU Funding text 1: This research was supported by the EU-funded Hungarian grant EFOP-3.6.1-16-2016-00008. [Figure presented] Funding text 2: This research was supported by the EU -funded Hungarian grant EFOP-3.6.1-16-2016-00008 . | |
| Doi ID dc.identifier.doi | https://doi.org/10.1016/j.aam.2017.12.002 | |
| Discipline Discipline + dc.subject.discipline | Természettudományok | |
|
dc.subject.sciencebranch | Természettudományok/Matematika- és számítástudományok | |
| MTMT ID dc.identifier.mtmt | 3341485 | |
|
dc.identifier.journalTitle | Advances in Applied Mathematics | |
|
dc.identifier.journalVolume | 96 | |
| Scope dc.format.page | 195-215 | |
| Wos ID dc.identifier.wos | 000428096300007 | |
| ID Scopus dc.identifier.scopus | 85041451488 | |
|
dc.identifier.journalAbbreviatedTitle | ADV APPL MATH | |
| Release Date dc.description.issuedate | 2018 | |
| Author institution dc.contributor.department | Vízépítési és Vízgazdálkodási Intézet | |
| Author institution dc.contributor.department | Bolyai Intézet (Matematikai Intézet) | |
| Author institution dc.contributor.department | Eötvös József Főiskola | |
| Author institution dc.contributor.department | MTA-ELTE Geometriai és algebrai kombinatorika kutatócsoport |
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