dc.creator | Ahmed, T. | es |
dc.creator | Boza Prieto, Luis | es |
dc.creator | Revuelta Marchena, María Pastora | es |
dc.creator | Sanz Domínguez, María Isabel | es |
dc.date.accessioned | 2023-10-02T05:56:20Z | |
dc.date.available | 2023-10-02T05:56:20Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Ahmed, T., Boza Prieto, L., Revuelta Marchena, M.P. y Sanz Domínguez, M.I. (2023). Lower bounds and exact values of the 2-color off-diagonal generalized weak Schur numbers WS(2;k,k) (Brief Announcement). Procedia Computer Science, 223, 403-405. https://doi.org/10.1016/j.procs.2023.08.261. | |
dc.identifier.issn | 1877-0509 | es |
dc.identifier.uri | https://hdl.handle.net/11441/149240 | |
dc.description | XII Latin-American Algorithms, Graphs and Optimization Symposium (LAGOS 2023) | es |
dc.description.abstract | In this study, we focus on the concept of the 2-color off-diagonal generalized weak Schur numbers, denoted as WS(2; k1, k2). These numbers are defined for integers ki ≥ 2, where i = 1, 2, as the smallest integer M, such that any 2-coloring of the integer interval [1, M] must contain a 2-colored solution to the equation Ekj: x1 + x2 + ... + xkj = xkj+1 for j = 1,2, with the condition that xi ≠ xj when i ≠ j. Our objective is to determine lower bounds for these 2-color off-diagonal generalized weak Schur numbers and demonstrate that in several cases, these lower bounds match the exact values. | es |
dc.format | application/pdf | es |
dc.format.extent | 3 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Procedia Computer Science, 223, 403-405. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Schur numbers | es |
dc.subject | Weak Schur numbers | es |
dc.subject | Sum-free sets | es |
dc.subject | Weak sum-free-sets | es |
dc.subject | Off-diagonal weak Schur numbers | es |
dc.title | Lower bounds and exact values of the 2-color off-diagonal generalized weak Schur numbers WS(2;k,k) (Brief Announcement) | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1877050923010347?via%3Dihub | es |
dc.identifier.doi | 10.1016/j.procs.2023.08.261 | es |
dc.contributor.group | Universidad de Sevilla. FQM240: Invariantes en Teoría de Grafos y Optimización | es |
dc.contributor.group | Universidad de Sevilla. FQM164: Matemática Discreta: Teoría de Grafos y Geometría Computacional | es |
dc.journaltitle | Procedia Computer Science | es |
dc.publication.volumen | 223 | es |
dc.publication.initialPage | 403 | es |
dc.publication.endPage | 405 | es |