Cycle Systems
| dc.contributor.author | Pfaltz, John P. | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 9 | cs |
| dc.date.accessioned | 2020-10-07T07:19:51Z | |
| dc.date.available | 2020-10-07T07:19:51Z | |
| dc.date.issued | 2020 | cs |
| dc.description.abstract | In this paper we show that the composition (symmetric difference) ofcycles is well-defined. So, such a collection {. . . , Ci, Ck, . . .} of cycles with a com-position operator,◦, is a matroid. As such, it has sets of independent, or basis,cycles that determine its rankr. This paper is concerned with independent anddependent sets of cycles within a cycle system. In particular, we enumerate thenumber of all possible basis sets in any cycle system of rankr≤6. Then we usea generating function to establish that the ratio of basis sets to all possiblerelementsets approachesc,0.287< c <0.289. | en |
| dc.format | text | cs |
| dc.format.extent | 55-66 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2020 vol. 9, č. 1, s. 55-66. ISSN 1805-3629 | cs |
| dc.identifier.doi | 10.13164/ma.2020.05 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/195182 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_pfaltz_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.subject | cycle composition, cycle basis exchange, matroid, independence, shortlex order | en |
| dc.title | Cycle Systems | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- ma_9_1_pfaltz_final.pdf
- Size:
- 797.08 KB
- Format:
- Adobe Portable Document Format
- Description: