Density of linearity index in the interval of matching numbers
| dc.contributor.author | Erey, Nursel | |
| dc.contributor.author | Hibi, Takayuki | |
| dc.date.accessioned | 2025-10-29T11:32:47Z | |
| dc.date.issued | 2025 | |
| dc.department | Fakülteler, Temel Bilimler Fakültesi, Matematik Bölümü | |
| dc.description.abstract | Given integers 2 <= p <= c <= q, we construct a finite simple graph G with nu(1)(G) = p and nu(G) = q for which the square free power I(G)([k] )of the edge ideal I(G) of G has linear quotients for each c <= k <= q and is not linearly related for each 1 <= k < c, where nu(1)(G)is the induced matching number of G and nu(G) is the matching number of G. | |
| dc.description.sponsorship | TUBIdot;TAK (2221-Fellowships for Visiting Scientists and Scientists on Sabbatical Leave) | |
| dc.description.sponsorship | The research on this paper began while the authors were visiting Juergen Herzog in Essen in August 2023. We thank Juergen Herzog together with Universitat Duisburg-Essen for the hospitality during our stay in Essen. The second author was supported by TUB & Idot;TAK (2221-Fellowships for Visiting Scientists and Scientists on Sabbatical Leave) to visit Nursel Erey at Gebze Technical University between 1-15 September, 2024. Macaulay 2 Package [12] was helpful in the preparation of this paper. | |
| dc.identifier.doi | 10.1007/s10801-025-01421-7 | |
| dc.identifier.issn | 0925-9899 | |
| dc.identifier.issn | 1572-9192 | |
| dc.identifier.issue | 4 | |
| dc.identifier.scopus | 2-s2.0-105008690777 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1007/s10801-025-01421-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14854/12130 | |
| dc.identifier.volume | 61 | |
| dc.identifier.wos | WOS:001512015800006 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Journal of Algebraic Combinatorics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20251020 | |
| dc.subject | Linearity index | |
| dc.subject | Matching | |
| dc.subject | Edge ideal | |
| dc.subject | Squarefree power | |
| dc.subject | Linear quotient | |
| dc.title | Density of linearity index in the interval of matching numbers | |
| dc.type | Article |
