Espacios Lineales Tropicales
| dc.contributor.advisor | Cifuentes Vargas, Verónica | |
| dc.contributor.author | Gómez Quintero, Andrés | |
| dc.contributor.author | Garay Salas, Cristhian | |
| dc.date.accessioned | 2025-05-05T17:39:14Z | |
| dc.date.available | 2025-05-05T17:39:14Z | |
| dc.date.created | 2025-01-14 | |
| dc.description | En este trabajo se estudiaron los espacios lineales tropicales, en particular su estructura combinatoria. Estás estructuras pueden usarse para probar resultados puramente combinatorios en teoría de matroides. | |
| dc.description.abstract | In this work, tropical linear spaces were studied, particularly their combinatorial structure. These structures can be used to prove purely combinatorial results in matroid theory. | |
| dc.format.mimetype | ||
| dc.identifier.uri | http://hdl.handle.net/11349/95216 | |
| dc.language.iso | spa | |
| dc.publisher | Universidad Distrital Francisco José de Caldas | |
| dc.relation.references | Federico Ardila y Caroline Klivans. «The Bergman complex of a matroid and phylogenetic trees». En: Journal of Combinatorial Theory, Series B 96.1 (2006), págs. 38-49. doi: https: //doi.org/10.1016/j.jctb.2005.06.004. url: https://www.sciencedirect. com/science/article/pii/S0095895605000687. | |
| dc.relation.references | David Cox, John Little y Donal O’Shea. Ideals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra. Undergraduate Texts in Mathematics. Springer, 2015. | |
| dc.relation.references | Antonio. Engler y Alexander Prestel. Valued Fields. Springer Monographs in Mathematics. Springer, 2005. | |
| dc.relation.references | Peter Butkovic. ˇ Max-linear Systems: Theory and Algorithms. Springer Monographs in Mathematics. Springer, 2010. | |
| dc.relation.references | Eva Maria Feichtner y Bernd Sturmfels. «Matroid polytopes, nested sets and Bergman fans». En: Portugaliae Mathematica. Nova Série 62.4 (2005), págs. 437-468. url: http: //eudml.org/doc/52519. | |
| dc.relation.references | Anders N. Jensen. Gfan, a software system for Gröbner fans and tropical varieties. Available at http://home.imf.au.dk/jensen/software/gfan/gfan.html. | |
| dc.relation.references | Michael Joswig. Essentials of Tropical Combinatorics. Vol. 219. Graduate Studies in Mathematics. American Mathematical Society, 2021. | |
| dc.relation.references | Diane Maclagan y Bernd Sturmefels. Introduction to Tropical Geometry. Vol. 161. Gra duate Studies in Mathematics. American Mathematical Society, 2015. | |
| dc.relation.references | James Munkres. Elements of algebraic topology. CRC Press, 1984. | |
| dc.relation.references | James Oxley. Matroid Theory. Oxford University Press, 1993. | |
| dc.relation.references | Richard Stanley. Enumerative Combinatorics. Vol. 1. 2011, págs. 277-289. | |
| dc.relation.references | Bernd Sturmfels. Gröbner Bases and Convex Polytopes. Vol. 8. University Lecture Series. American Mathematical Society, 1996. | |
| dc.relation.references | Günter Ziegler. Lectures on Polytopes. Vol. 152. Graduate Texts in Mathematics. Springer, 1995. | |
| dc.rights.acceso | Abierto (Texto Completo) | |
| dc.rights.accessrights | OpenAccess | |
| dc.subject | Complejo ordenado | |
| dc.subject | Politopo matroidal | |
| dc.subject | Abanico de Bergman | |
| dc.subject | Dressiano | |
| dc.subject.keyword | Ordered complex | |
| dc.subject.keyword | Matroid polytope | |
| dc.subject.keyword | Bergman fan | |
| dc.subject.keyword | Dressian | |
| dc.subject.lemb | Matemáticas -- Tesis y disertaciones académicas | |
| dc.title | Espacios Lineales Tropicales | |
| dc.title.titleenglish | Tropical Linear Spaces | |
| dc.type | bachelorThesis | |
| dc.type.degree | Monografía | |
| dc.type.driver | info:eu-repo/semantics/bachelorThesis |
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