Vincent Pilaud

CNRS researcher in the team Modèles combinatoires at Laboratoire d'informatique de l'École Polytechnique

email: vincent dot pilaud at lix dot polytechnique dot fr
adress: École polytechnique - Laboratoire d'informatique (LIX) - 91128 Palaiseau Cedex - France
office: 2030
phone: +33 1 77 57 80 08

Publications and preprints

The facial weak order and its lattice quotients (Aram Dermenjian, Christophe Hohlweg, and Vincent Pilaud)
See the article on the arXiv
28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016)
PDF
Brick polytopes, lattice quotients, and Hopf algebras (Vincent Pilaud)
See the article on the arXiv
28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016), poster
PDF PDF
Cluster algebras of type D: pseudotriangulations approach (Cesar Ceballos and Vincent Pilaud)
Electronic Journal of Combinatorics, Vol. 22(4), #P4.44, 21 pp., 2015 (electronic version)
See the article on the arXiv
PDF
Compatibility fans for graphical nested complexes (Thibault Manneville and Vincent Pilaud)
See the article on the arXiv
28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 16, Vancouver, July 2016)
PDF PDF
Cambrian Hopf algebras (Grégory Chatel and Vincent Pilaud)
See the article on the arXiv
27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015)
PDF PDF
Graph properties of graph associahedra (Thibault Manneville and Vincent Pilaud)
Séminaire Lotharingien de Combinatoire, B73d, 31 pp, 2015 (electronic version)
See the article on the arXiv
Content announced in Diameters and geodesic properties of generalizations of the associahedron (Cesar Ceballos, Thibault Manneville, Vincent Pilaud, Lionel Pournin) in 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015), poster
PDF
Which nestohedra are removahedra? (Vincent Pilaud)
See the article on the arXiv
PDF
The diameter of type D associahedra and the non-leaving-face property (Cesar Ceballos and Vincent Pilaud)
European Journal of Combinatorics, Vol. 51, pp. 109 – 124, 2016 (electronic version)
See the article on the arXiv
Content announced in Diameters and geodesic properties of generalizations of the associahedron (Cesar Ceballos, Thibault Manneville, Vincent Pilaud, Lionel Pournin) in 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 15, Daejong, July 2015), poster
PDF
Quasi-configurations: building blocks for point-line configurations (Jürgen Bokowski and Vincent Pilaud)
ARS Mathematica Contemporanea, Vol. 10(1), pp. 99 – 112, 2016 (electronic version)
See the article on the arXiv
PDF PDF
Signed tree associahedra (Vincent Pilaud)
See the article on the arXiv
26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 14, Chicago, July 2014), poster
PDF PDF
On topological and geometric (19_4) configurations (Jürgen Bokowski and Vincent Pilaud)
European Journal of Combinatorics, Vol. 50, pp. 4 – 17, 2015 (special issue in Memory of Michel Las Vergnas) (electronic version)
See the article on the arXiv
PDF PDF
Analytic combinatorics of chord and hyperchord diagrams with k crossings (Vincent Pilaud and Juanjo Rué)
Advances in Applied Mathematics, Vol. 57, pp. 60 – 100, 2014 (electronic version)
See the article on the arXiv
25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 14, Paris, June 2014)
PDF PDF
Associahedra via spines (Carsten Lange and Vincent Pilaud)
Accepted in Combinatorica
See the article on the arXiv
PDF PDF
Denominator vectors and compatibility degrees in cluster algebras of finite type (Cesar Ceballos and Vincent Pilaud)
Transactions of the American Mathematical Society, Vol. 367, pp. 1421 – 1439, 2015 (electronic version)
See the article on the arXiv
25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris, June 2013)
PDF
Vertex barycenter of generalized associahedra (Vincent Pilaud and Christian Stump)
Proceedings of the American Mathematical Society, Vol. 143 (6), pp. 2623 – 2636, 2015 (electronic version)
See the article on the arXiv
PDF PDF
EL-labelings and canonical spanning trees for subword complexes (Vincent Pilaud and Christian Stump)
Discrete Geometry and Optimization, Fields Institute Communications Series, Springer, pp. 213 – 248, 2013 (electronic version)
See the article on the arXiv
25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 13, Paris, June 2013), poster
PDF
The greedy flip tree of a subword complex (Vincent Pilaud)
See the article on the arXiv
Génération Aléatoire de Structures Combinatoires (GASCOM 12, Bordeaux, June 12)
This paper is subsumed by the previous one, and will therefore not be published in a journal.
PDF PDF
Enumerating topological (n_k)-configurations (Jürgen Bokowski and Vincent Pilaud)
Computational Geometry: Theory and Applications, Vol. 47(2), pp. 175 – 186, 2014 (special issue for the 23rd Canadian Conférence on Computational Geometry) (electronic version)
See the article on the arXiv
23rd Canadian Conférence on Computational Geometry (CCCG 11, Toronto, August 2011)
PDF PDF
Obstructions to weak decomposability for simplicial polytopes (Nicolai Hähnle, Steven Klee, and Vincent Pilaud)
Proceedings of the American Mathematical Society, Vol. 142(9), pp. 3249 – 3257, 2014 (electronic version)
See the article on the arXiv
PDF
Brick polytopes of spherical subword complexes and generalized associahedra (Vincent Pilaud and Christian Stump)
Advances in Mathematics, Vol. 276, pp. 1 – 61, 2015 (electronic version)
See the article on the arXiv
24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 12, Nagoya, July 2012)
PDF PDF
The brick polytope of a sorting network (Vincent Pilaud and Francisco Santos)
European Journal of Combinatorics, Vol. 33(4), pp. 632 – 662, 2012 (electronic version)
See the article on the arXiv
VII Jornadas de Matematica Discreta y Algorithmica (JMDA 10, Castro Urdiales, July 2010)
Semester on Discrete & Computational Geometry, Culminating Workshop (Lausanne, November 2010)
23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 11, Reykjavik, June 2011)
PDF PDF
On a dispersion problem in grid labeling (Minghui Jiang, Vincent Pilaud, and Pedro Tejada)
SIAM Journal on Discrete Mathematics, Vol. 26(1), pp. 39 – 51, 2012 (electronic version)
22st Canadian Conference on Computational Geometry (CCCG 10, Winipeg, August 2010)
PDF
On the number of simple arrangements of five double pseudolines (Julien Ferté, Vincent Pilaud, and Michel Pocchiola)
Discrete & Computational Geometry, Vol. 45(2), pp. 279 – 302, 2011 (special issue on Transversal and Helly-type Theorems in Geometry, Combinatorics and Topology) (electronic version)
See the article on the arXiv
18th Fall Workshop on Computational Geometry (FWCG 08, Troy, October 2008)
XV Midsummer Combinatorial Workshop (Prague, July 2009)
PDF
Polytopal complexes realizing products of graphs (Antonio Guedes de Oliveira, Edward Kim, Marc Noy, Arnau Padrol, Julian Pfeifle, and Vincent Pilaud)
XIV Encuentros de Geometria Computacional (Alcala de Henares, June 2011)
PDF
Polytopality and Cartesian products of graphs (Julian Pfeifle, Vincent Pilaud, and Francisco Santos)
Israel Journal of Mathematics, Vol. 192(1), pp. 121 – 141, 2012 (electronic version)
See the article on the arXiv
VII Jornadas de Matematica Discreta y Algorithmica (JMDA 10, Castro Urdiales, July 2010)
PDF PDF
Prodsimplicial neighborly polytopes (Benjamin Matschke, Julian Pfeifle, and Vincent Pilaud)
Discrete & Computational Geometry, Vol. 46(1), pp. 100 – 131, 2011 (electronic version)
See the article on the arXiv
PDF PDF
Multitriangulations, pseudotriangulations and primitive sorting networks (Vincent Pilaud and Michel Pocchiola)
Discrete & Computational Geometry, Vol. 48(1), pp. 142 – 191, 2012 (electronic version)
See the article on the arXiv
25th European Workshop on Computational Geometry (EuroCG 09, Bruxelles, March 2009)
PDF
On symmetric realizations of the simplicial complex of 3-crossing-free sets of diagonals of the octagon (Jürgen Bokowski and Vincent Pilaud)
XIII Encuentros de Geometria Computacional (Zaragoza, June 2009)
21st Canadian Conference on Computational Geometry (CCCG 09, Vancouver, August 2009)
PDF PDF
Multitriangulations as complexes of star polygons (Vincent Pilaud and Francisco Santos)
Discrete & Computational Geometry, Vol. 41(2), pp. 284 – 317, 2009 (electronic version)
See the article on the arXiv
20th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 08, Valparaiso, June 2008), poster
VI Jornadas de Matematica Discreta y Algorithmica (JMDA 08, Lleida, July 2008)
PDF

Reports

Multitriangulations, pseudotriangulations and some problems of realization of polytopes
PhD Thesis (Université Paris 7 & Universidad de Cantabria)
(co)directed by Michel Pocchiola (Université Paris 6) & Francisco Santos (Universidad de Cantabria)
Premio Extraordinario de Doctorado de la Universidad de Cantabria
PDF PDF
Enveloppe convexe dans les revêtements ramifiés de l'espace euclidien
Master thesis (École Normale Supérieure)
directed by Michel Pocchiola (Université Paris 6)
PDF

Some slides of presentations

The associahedron and its friends PDF
Brick polytopes, lattice quotients, and Hopf algebras PDF
Compatibility fans for graphical nested complexes PDF
Signed tree associahedra PDF
Analytic combinatorics of chord and hyperchord diagrams with k crossings PDF
Cambrian trees PDF
Vertex barycenters of generalized associahedra PDF
The greedy flip tree of a subword complex PDF
The quest for geometric configurations PDF
Brick polytopes of spherical subword complexes and generalized associahedra PDF
The brick polytope of a sorting network PDF
Prodsimplicial neighborly polytopes PDF
On symmetric realizations of the simplicial complex of 3-crossing-free sets of diagonals of the octagon PDF

Conferences attended

Teaching activities

See my page d'enseignement (in french).


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