Artículo
Capitelli, N.A.; Minian, E.G. "A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions" (2017) Discrete and Computational Geometry. 58(1):144-157
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex of rooted forests of a connected graph G completely determines G. © 2017, Springer Science+Business Media New York.
Registro:
| Documento: | Artículo |
| Título: | A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions |
| Autor: | Capitelli, N.A.; Minian, E.G. |
| Filiación: | Departamento de Matemática-IMAS, FCEyN, Universidad de Buenos Aires, Buenos Aires, C1428EGA, Argentina |
| Palabras clave: | Collapsibility; Discrete Morse complex; Discrete Morse theory |
| Año: | 2017 |
| Volumen: | 58 |
| Número: | 1 |
| Página de inicio: | 144 |
| Página de fin: | 157 |
| DOI: | http://dx.doi.org/10.1007/s00454-017-9865-z |
| Título revista: | Discrete and Computational Geometry |
| Título revista abreviado: | Discrete Comput. Geom. |
| ISSN: | 01795376 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01795376_v58_n1_p144_Capitelli |
Referencias:
- Ayala, R., Fernández, L.M., Quintero, A., Vilches, J.A., A note on the pure Morse complex of a graph (2008) Topol. Appl, 155 (17-18), pp. 2084-2089
- Babson, E., Kozlov, D.N., Proof of the Lovász conjecture (2007) Ann. Math, 165 (3), pp. 965-1007
- Björner, A., Welker, V., Complexes of directed graphs (1999) SIAM J. Discrete Math, 12 (4), pp. 413-424
- Chari, M.K., On discrete Morse functions and combinatorial decompositions (2000) Discrete Math, 217 (1-3), pp. 101-113
- Chari, M.K., Joswig, M., Complexes of discrete Morse functions (2005) Discrete Math, 302 (1-3), pp. 39-51
- Engström, A., Complexes of directed trees and independence complexes (2009) Discrete Math, 309 (10), pp. 3299-3309
- Forman, R., Morse theory for cell complexes (1998) Adv. Math, 134 (1), pp. 90-145
- Forman, R., Witten–Morse theory for cell complexes (1998) Topology, 37 (5), pp. 945-979
- Jojić, D., Shellability of complexes of directed trees (2013) Filomat, 27 (8), pp. 1551-1559
- Kozlov, D.N., Complexes of directed trees (1999) J. Combin. Theory Ser. A, 88 (1), pp. 112-122
- Lundell, A.T., Weingram, S., (1969) The Topology of CW Complexes, , The University Series in Higher Mathematics, Van Nostrand Reinhold, New York
Citas:
---------- APA ----------
Capitelli, N.A. & Minian, E.G. (2017) . A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions. Discrete and Computational Geometry, 58(1), 144-157.http://dx.doi.org/10.1007/s00454-017-9865-z
---------- CHICAGO ----------
Capitelli, N.A., Minian, E.G. "A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions" . Discrete and Computational Geometry 58, no. 1 (2017) : 144-157.http://dx.doi.org/10.1007/s00454-017-9865-z
---------- MLA ----------
Capitelli, N.A., Minian, E.G. "A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions" . Discrete and Computational Geometry, vol. 58, no. 1, 2017, pp. 144-157.http://dx.doi.org/10.1007/s00454-017-9865-z
---------- VANCOUVER ----------
Capitelli, N.A., Minian, E.G. A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions. Discrete Comput. Geom. 2017;58(1):144-157.http://dx.doi.org/10.1007/s00454-017-9865-z
