Homotopy equivalence of simplicial sets with a group action
Rafael Villarroel-Flores, "Homotopy equivalence of simplicial sets with a group action." Bol. Soc. Mat. Mexicana (3), 2000.
CV
Education
- B.S. in Mathematics, UNAM, 1991
- M.S. in Mathematics, UNAM, 1993
- Ph.D in Mathematics, University of Minnesota, 1999
Work experience
- 1999: Investigador Asociado
- Instituto de Matemáticas, UNAM
- 2006: Profesor Investigador
- CIMA, UAEH
Skills
- Combinatorics
- graph theory
- the clique graph operator
- Software
- \LaTeX
- Python
- Emacs
- Git
Publications
Some split exact sequences in the cohomology of groups
Rafael Villarroel-Flores, Peter Webb, "Some split exact sequences in the cohomology of groups." Topology, 2002.
Almost regular cages
G. Araujo-Pardo, R. Villarroel-Flores, "Almost regular cages." Int. Math. Forum, 2007.
Contractibility and the clique graph operator
F. Larrión, M. Pizaña, R. Villarroel-Flores, "Contractibility and the clique graph operator." Discrete Math., 2008.
Equivariant collapses and the homotopy type of iterated clique graphs
F. Larrión, M. Pizaña, R. Villarroel-Flores, "Equivariant collapses and the homotopy type of iterated clique graphs." Discrete Math., 2008.
Posets, clique graphs and their homotopy type
F. Larrión, M. Pizaña, R. Villarroel-Flores, "Posets, clique graphs and their homotopy type." European J. Combin., 2008.
The clique operator on matching and chessboard graphs
F. Larrión, M. Pizaña, R. Villarroel-Flores, "The clique operator on matching and chessboard graphs." Discrete Math., 2009.
The fundamental group of the clique graph
F. Larrión, M. Pizaña, R. Villarroel-Flores, "The fundamental group of the clique graph." European J. Combin., 2009.
Small locally $nK_2$ graphs
F. Larrión, M. Pizaña, R. Villarroel-Flores, "Small locally $nK_2$ graphs." Ars Combin., 2011.
On the structure of the $h$-vector of a paving matroid
Criel Merino, Steven Noble, Marcelino Ramírez-Ibáñez, Rafael Villarroel-Flores, "On the structure of the $h$-vector of a paving matroid." European J. Combin., 2012.
Discrete Morse theory and the homotopy type of clique graphs
F. Larrión, M. Pizaña, R. Villarroel-Flores, "Discrete Morse theory and the homotopy type of clique graphs." Ann. Comb., 2013.
Iterated clique graphs and bordered compact surfaces
F. Larrión, M. Pizaña, R. Villarroel-Flores, "Iterated clique graphs and bordered compact surfaces." Discrete Math., 2013.
The clique behavior of circulants with three small jumps
F. Larrión, M. Pizaña, R. Villarroel-Flores, "The clique behavior of circulants with three small jumps." Ars Combin., 2014.
On self-clique graphs with triangular cliques
F. Larrión, M. Pizaña, R. Villarroel-Flores, "On self-clique graphs with triangular cliques." Discrete Math., 2016.
On self-clique shoal graphs
F. Larrión, M. Pizaña, R. Villarroel-Flores, "On self-clique shoal graphs." Discrete Appl. Math., 2016.
On strong graph bundles
F. Larrión, M. Pizaña, R. Villarroel-Flores, "On strong graph bundles." Discrete Math., 2017.
On the clique behavior of graphs with small constant link
F. Larrión, M. Pizaña, R. Villarroel-Flores, "On the clique behavior of graphs with small constant link." Ars Combin., 2019.
Talks
Representaciones del grupo simétrico en homologías
Ponencia invitada at Coloquio de gráficas, Zacatecas, Zac
Estudio del clan comportamiento usando Python
Ponencia at Congreso SMM, Monterrey, NL