Sectionable Tournaments: their Topology and Coloring
| dc.authorid | Deniz, Zakir/0000-0002-0701-0397 | |
| dc.authorwosid | Deniz, Zakir/AAK-6689-2021 | |
| dc.contributor.author | Deniz, Zakir | |
| dc.date.accessioned | 2023-07-26T11:49:56Z | |
| dc.date.available | 2023-07-26T11:49:56Z | |
| dc.date.issued | 2022 | |
| dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | We provide a detailed study of topological and combinatorial properties of sectionable tournaments. This class forms an inductively constructed family of tournaments grounded over simply disconnected tournaments, those tournaments whose fundamental groups of acyclic complexes are non-trivial. When T is a sectionable tournament, we fully describe the cell-structure of its acyclic complex Acy(T) by using the adapted machinery of discrete Morse theory for acyclic complexes of tournaments. In the combinatorial side, we demonstrate that the dimension of the complex Acy(T) has a role to play. We prove that if T is a (2r + 1)-sectionable tournament and d is the dimension of Acy(T), then the (acyclic) chromatic number of T satisfies chi(T)<= 2(2-1/(r+1))(log(d+1))-1 where the logarithm has two as its base. | en_US |
| dc.identifier.doi | 10.1007/s11083-022-09615-5 | |
| dc.identifier.issn | 0167-8094 | |
| dc.identifier.issn | 1572-9273 | |
| dc.identifier.scopus | 2-s2.0-85143443266 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s11083-022-09615-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/12170 | |
| dc.identifier.wos | WOS:000895009100001 | en_US |
| dc.identifier.wosquality | Q4 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Deniz, Zakir | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Order-A Journal on The Theory of Ordered Sets and Its Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.snmz | $2023V1Guncelleme$ | en_US |
| dc.subject | Tournaments; Simplicial Complexes; Discrete Morse Theory; Coloring | en_US |
| dc.title | Sectionable Tournaments: their Topology and Coloring | en_US |
| dc.type | Article | en_US |
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