J. A. De Loera, J. Rambau, F. Santos. Triangulations: Structures for Algorithms and Applications, xiii+535 pp. Algorithms and Computation in Mathematics, Vol. 25, Springer-Verlag. ISBN: 978-3-642-12970-4, DOI: 10.1007/978-3-642-12971-1.

Research papers by Francisco Santos

Links to my profiles in arXiv, MathSciNet, zbMATH, Google Scholar, ORCID, Publons (formerly ResearcherID), and ResearchGate.

Below is the list of full references, in reverse chronological order.
Where available, a link to the journal issue or journal home page for published papers is included.
For papers after 2002 (approx.) links to arXiv are also included.

Preprints or submitted papers:

• Romanos Diogenes Malikiosis, Francisco Santos, Matthias Schymura. Linearly-exponential checking is enough for the Lonely Runner Conjecture and some of its variants.
  Preprint, 36 pages, November 2024.
  arXiv:2411.06903


• Luis Crespo Ruiz, Álvaro Pelayo, Francisco Santos. Ewald's Conjecture and integer points in algebraic and symplectic toric geometry.
  Preprint, 37 pages, March 2024.
  arXiv:2310.10366


• Álvaro Pelayo, Francisco Santos. The structure of monotone blow-ups in symplectic toric geometry and a question of McDuff.
  Preprint, 14 pages, August 2023.
  arXiv:2308.03085


• Álvaro Pelayo, Francisco Santos. Moduli spaces of Delzant polytopes and symplectic toric manifolds.
  Preprint, 37 pages, March 2023.
  arXiv:2303.02369


• Antonio Fernández, Francisco Santos. Associahedra minimize f-vectors of secondary polytopes of planar point sets
  Preprint, 21 pages, October 2021.
  arXiv:2110.00544


• Spencer Backman, Francisco Santos, Chi Ho Yuen. Extension-lifting Bijections for Oriented Matroids Preprint, 24 pages, December 2023.
  arXiv:1904.03562v3
  
  A shorter version of this paper has appeared as
  "Topological Bijections for Oriented Matroids".
  Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana), Séminaire Lotharingien de Combinatoire 82B (2019) Article #39, 12 pp.

Papers accepted for publication:

• Joseph Doolittle, Lukas Katthän, Benjamin Nill, Francisco Santos. Empty simplices of large width.
  Preprint, 22 pages, March 2021.
  arXiv:2103.14925
  Forum Math. Sigma, to appear


• Luis Crespo Ruiz, Francisco Santos. Realizations of multiassociahedra via rigidity.
  arXiv:2212.14265
Discrete Comput Geom (2024), published online 15 October 2024. DOI: 10.1007/s00454-024-00698-y. (Open Access)

Published papers:

• Luis Crespo Ruiz, Francisco Santos. Multitriangulations and tropical Pfaffians.
  arXiv:2203.04633
  SIAM Journal on Applied Algebra and Geometry, 8(2) (2024), 302-332. DOI: 10.1137/22M1527507.


• Eva Philippe, Arnau Padrol, Francisco Santos. Many regular triangulations and many polytopes.
  arXiv:2207.01985
  Mathematische Annalen 389 (2024), 745-763. DOI: 10.1007/s00208-023-02652-4 (Open Access).


• Francisco Santos. ¿Cuántas caras puede tener un poliedro (simplicial)? (How many faces can a (simplicial) polytope have?)
  La Gaceta de la RSME 27(1) (2024), 167-193 (expository)

• Giulia Codenotti, Francisco Santos. Unimodular covers of 3-dimensional parallelepipeds and Cayley sums.
  arXiv:1907.12312
  Combinatorial Theory 3(3) (2023), #2. DOI: 10.5070/C63362785 (Open Accsess)


• Vincent Pilaud, Francisco Santos, Günter M. Ziegler. Celebrating Loday's Associahedron.
  arXiv:2305.08471
  Archiv der Mathematik 121 (2023), 559-601. DOI: 10.1007/s00013-023-01895-6 (Open Access)


• Luis Crespo Ruiz, Francisco Santos. Bar-and-joint rigidity on the moment curve coincides with cofactor rigidity on a conic.
  arXiv:2106.08923
  Combinatorial Theory 3 (1) (2023) ♯15. DOI: 10.5070/C63160428 (Open Access).

• Francisco Criado, Francisco Santos. Topological Prismatoids and Small Simplicial Spheres of Large Diameter.
  arXiv:1807.03030
  Experimental Mathematics, 31:2 (2022), 461-473. DOI: 10.1080/10586458.2019.1641766.
  


• Giulia Codenotti, Francisco Santos, Matthias Schymura. The covering radius and a discrete surface area for non-hollow simplices.
  arXiv:1903.02866
  Discrete Comput. Geom., 67 (2022), 65-111. DOI: 10.1007/s00454-021-00330-3.


• Jorge A. Olarte, Francisco Santos. Hypersimplicial subdivisions.
  arXiv:1906.05764
  Sel. Math. New Ser. 28:1 (2022), article 4. DOI: 10.1007/s00029-021-00722-6.


• Francisco Criado, Michael Joswig, Francisco Santos. Tropical bisectors and Voronoi diagrams.
  arXiv:1906.10950
  Found. Comput. Math. 22, 1923-1960 (2022). DOI: 10.1007/s10208-021-09538-4. SharedIt link:https://rdcu.be/cxmcK

• Óscar Iglesias-Valiño, Francisco Santos. The complete classification of empty lattice 4-simplices.
  arXiv:1908.08933
  Rev. Mat. Iberoam. 37:6 (2021), 2399-2432. DOI: 10.4171/rmi/1268


• G.K. Sankaran and Francisco Santos. Blowups with canonical singularities.
  arXiv:1911.06435
  Geometry & Topology 25:4 (2021), 2145-2166. DOI: 10.2140/gt.2021.25.2145


• Christian Haase, Andreas Paffenholz, Lindsay C. Piechnik, Francisco Santos. Existence of unimodular triangulations - positive results.
  arXiv:1405.1687
  Mem. Amer. Math. Soc. Volume 270, Number 1321, American Math. Society, 2021. DOI: 10.1090/memo/1321
  ISBNs: 978-1-4704-4716-8 (print); 978-1-4704-6530-8 (online)


• Mónica Blanco, Christian Haase, Jan Hofmann, Francisco Santos. The Finiteness Threshold Width of Lattice Polytopes.
  arXiv:1607.00798
  Transactions of the Amer. Math. Soc. Ser. B 8 (April 2021), 399-419. DOI: 10.1090/btran/62.


• Gennadiy Averkov, Giulia Codenotti, Antonio Macchia, Francisco Santos. A local maximizer for lattice width of 3-dimensional hollow bodies.
  arXiv:1907.06199
  Discrete Applied Math. 298 (July 2021), 129-142 DOI: 10.1016/j.dam.2021.04.009.

• Giulia Codenotti, Francisco Santos, Jonathan Spreer. Average Betti numbers of induced subcomplexes in triangulations of manifolds.
  arXiv:1808.04220
  Electron. J. Combin. 27:3 (2020), P3.40. DOI: https://doi.org/10.37236/8564.


• Károly J. Böröczky, Máté Matolcsi, Imre Z. Ruzsa, Francisco Santos, Oriol Serra. Triangulations and a discrete Brunn-Minkowski inequality in the plane.
  arXiv:1812.04117
  Discrete Comput. Geom. 64:2 (2020), 396-426. DOI: 10.1007/s00454-019-00131-9.


• Jorge A. Olarte, Francisco Santos, Jonathan Spreer, Christian Stump. The EKR property for flag pure simplicial complexes without boundary.
  arXiv:1710.02518
  J. Combin. Th., Ser. A. 172 (May 2020), 105205. DOI: 10.1016/j.jcta.2019.105205.


• Giulia Codenotti, Francisco Santos. Hollow polytopes of large width.
  arXiv:1812.00916
  Proc. Amer. Math. Soc. 148(2) (2020), 835-850. DOI: 10.1090/proc/14721.
  

• Jakob Erbe, Christian Haase, Francisco Santos. Ehrhart-equivalent 3-polytopes are equidecomposable.
  arXiv:1807.09485
  Proc. Amer. Math. Soc. 147 (2019), 5373-5383. DOI: 10.1090/proc/14626.


• Vincent Pilaud, Francisco Santos. Quotientopes.
  arXiv:1711.05353
  Bull. London Math. Soc., 51 (2019) 406-420. DOI: 10.1112/blms.12231.


• Jorge A. Olarte, Francisco Santos, Jonathan Spreer. Short proof of two cases of Chvátal's conjecture.
  arXiv:1804.03646
  Discrete Mathematics 342 (2019) 2192-2194. DOI: 10.1016/j.disc.2019.04.011.


• Óscar Iglesias-Valiño, Francisco Santos. Classification of empty lattice 4-simplices of width larger than two.
  arXiv:1704.07299
  Transactions Amer. Math. Soc., 371:9 (May 2019), 6605-6625. DOI: 10.1090/tran/7531.
  An extended abstract of this paper has appeared as
  "Classification of empty lattice 4-simplices of width larger than 2",
  Electr. Notes Disc. Math. 61 (August 2017), 647-653. DOI: 10.1016/j.endm.2017.07.019.


• Mónica Blanco, Francisco Santos. Non-spanning lattice 3-polytopes.
  arXiv:1711.07603
  J. Combin. Th., Ser. A. 161 (January 2019), 112-133. DOI: 10.1016/j.jcta.2018.07.010.

• Frédéric Bihan, Francisco Santos, Pierre-Jean Spaenlehauer. A Polyhedral Method for Sparse Systems with many Positive Solutions.
  Preprint, 28 pages, April 2018.
  arXiv:1804.05683
  SIAM J. Appl. Algebra Geometry, 2(4) (2018), 620-645. DOI: 10.1137/18M1181912.


• Mónica Blanco and Francisco Santos. Enumeration of lattice 3-polytopes by their number of lattice points.
  arXiv:1601.02577
  Discrete Comput. Geom. 60:3 (October 2018), 756-800. DOI: 10.1007/s00454-017-9932-5.
  Full text via Springer SharedIt.
  
  An extended abstract of this paper has appeared as
  "Enumerating lattice 3-polytopes",
  Electr. Notes Disc. Math. 54 (October 2016), 133-138. DOI: 10.1016/j.endm.2016.09.024.

• Carl Lee and Francisco Santos. Subdivisions and triangulations of polytopes.
  In Handbook of Discrete and Computational Geometry, Third Edition, edited by Jacob E. Goodman, Joseph O'Rourke, and Csaba D. Tóth, CRC Press, November 2017, pp 415-447. ISBN 978-149871139-5
  A preprint version is available here.


• Francisco Criado and Francisco Santos. The maximum diameter of pure simplicial complexes and pseudo-manifolds.
  arXiv:1603.06238
  Discrete Comput. Geom., 58(3) (October 2017), 643-649. DOI: 10.1007/s00454-017-9888-5.
  
  An extended abstract of this paper has appeared as Electr. Notes Disc. Math. 54 (October 2016), 217-221. DOI: 10.1016/j.endm.2016.09.038.


• Jean-Philippe Labbé, Thibault Manneville, Francisco Santos. Hirsch polytopes with exponentially long combinatorial segments.
  arXiv:1510.07678
  Math. Program., Ser. A, 165:2 (2017), 663-688. Full text via Springer SharedIt. DOI: 10.1007/s10107-016-1099-y


• Francisco Santos, Christian Stump, Volkmar Welker. Noncrossing sets and a Grassmann associahedron.
  arXiv:1403.8133
  Forum of Mathematics, Sigma, 5 (2017), e5. DOI: http://dx.doi.org/10.1017/fms.2017.1.

• Mónica Blanco and Francisco Santos. Lattice 3-polytopes with six lattice points.
  arXiv:1501.01055
  SIAM J. Discrete Math. 30(2) (2016), 687-717. DOI: 10.1137/15M1014462.


• Mónica Blanco and Francisco Santos. Lattice 3-polytopes with few lattice points.
  arXiv:1409.6701
  SIAM J. Discrete Math. 30(2) (2016) , 669-686. DOI: 10.1137/15M1014450.


• Eran Nevo, Francisco Santos, Stedman Wilson. Many triangulated odd-spheres.
  arXiv:1408.3501
  Math. Annalen 364:3 (2016), 737-762. DOI: 10.1007/s00208-015-1232-x.

• Cesar Ceballos, Francisco Santos, Günter M. Ziegler. Many non-equivalent realizations of the associahedron.
  arXiv:1109.5544
  Combinatorica, Vol 35:5, 2015, 513-551. DOI: 10.1007/s00493-014-2959-9


• Tristram Bogart, Christian Haase, Milena Hering, Benjamin Lorenz, Benjamin Nill, Andreas Paffenholz, Günter Rote, Francisco Santos, Hal Schenck. Finitely many smooth d-polytopes with N lattice points.
  arXiv:1010.3887
  Israel J. Math. April 2015, Volume 207, Issue 1, pp 301-329. DOI: 10.1007/s11856-015-1175-7


• Benjamin Matschke, Francisco Santos, Christophe Weibel. The width of 5-dimensional prismatoids.
  arXiv:1202.4701
  Proc. London Math. Soc., Vol 110 (3) (2015), 647-672. DOI: 10.1112/plms/pdu064


• Pablo Garrido, David Gómez, Francisco Santos and Ramón Agüero. On the Feasibility of Inter-flow Network Coding Over Random Wireless Mesh Networks.
  In "Mobile Networks and Management - 6th International Conference, MONAMI 2014, Würzburg, Germany, September 22-26, 2014", Agüero, R., Zinner, Th., Goleva, R., Timm-Giel, A., Tran-Gia, P. (Eds.), Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, Vol. 141, Springer Verlag (2015), pp. 259-274.
  ISBN: 978-3-319-16291-1. Series ISSN: 1867-8211. DOI: 10.1007/978-3-319-16292-8

• Károly Böröczky, Francisco Santos, Oriol Serra. On sumsets and convex hull.
  arXiv:1307.6316
  Discrete Comput. Geom., Volume 52, Issue 4, (December 2014), 705-729. DOI: 10.1007/s00454-014-9633-2

• Francisco Santos, Günter M. Ziegler. Unimodular triangulations of dilated 3-polytopes.
  arXiv:1304.7296
  Trans. Moscow Math. Soc., 74 (2013), 293-311. DOI: 10.1090/S0077-1554-2014-00220-X
  


• Francisco Santos. Recent progress on the combinatorial diameter of polytopes and simplicial complexes.
  arXiv:1307.5900
  TOP 21:3 (October 2013), 426-460. DOI: 10.1007/s11750-013-0295-7
  This paper includes the intended contents of (and hence supersedes) one cited as "On the maximum diameter of simplicial complexes and abstractions of them, in preparation". It is an invited paper, published side-to-side with commentaries by Jesús A. De Loera, Friedrich Eisenbrand, Jean-Baptiste Hiriart-Urruty and Tamás Terlaky, plus a "rejoinder" by me:
  
  Francisco Santos, Rejoinder on: Recent progress on the combinatorial diameter of polytopes and simplicial complexes
  TOP 21:3 (October 2013), 482-484. DOI: 10.1007/s11750-013-0296-6
  


• Francisco Santos. Some acyclic systems of permutations are not realizable by triangulations of a product of simplices.
  arXiv:1201.0529
  Algebraic and Combinatorial Aspects of Tropical Geometry, Edited by Erwan Brugallé, María Angélica Cueto, Alicia Dickenstein, Eva-Maria Feichtner, and Ilia Itenberg, Contemporary Mathematics 589, Amer. Math. Soc., Providence RI, 2013, pp 317-328. ISBN: 978-0-8218-9146-9.


• Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, Clemens Huemer, Attila Pór, Francisco Santos, Bettina Speckmann, Birgit Vogtenhuber, Maximizing Maximal Angles for Plane Straight-Line Graphs.
  Computational Geometry: Theory and Applications 46:1 (January 2013), 17-28. DOI: 10.1016/j.comgeo.2012.03.002
  This is the final version of this paper.

• Julian Pfeifle, Vincent Pilaud, Francisco Santos. Polytopality and Cartesian products of graphs.
  arXiv:1009.1499
  Israel J. Math 192(1) (2012), 121-144. DOI: 10.1007/s11856-012-0049-5


• Francisco Santos, A counterexample to the Hirsch conjecture
  arXiv:1006.2814
  Annals of Math. (2), 176 (July 2012), 383-412. DOI: 10.4007/annals.2012.176.1.7


• Francisco Santos, Tamon Stephen, Hugh Thomas, Embedding a pair of graphs in a surface, and the width of 4-dimensional prismatoids.
  arXiv:1104.2630
  Discrete Comput. Geom. 47:3 (2012), 569-576. DOI: 10.1007/s00454-011-9361-9


• Vincent Pilaud, Francisco Santos, The brick polytope of a sorting network.
  arXiv:1103.2731
  European J. Combin. 33:4 (2012), 632-662. DOI: 10.1016/j.ejc.2011.12.003

• P. Sabariego and F. Santos, On the number of facets of three-dimensional Dirichlet stereohedra IV: Quarter cubic groups.
  arXiv:0708.2114
  Contributions to Algebra and Geometry 52:2 (2011), 237-263. DOI: 10.1007/s13366-011-0010-5
  
  See also part I, part II and part III in this series.

• C. Cortés, C. I. Grima, F. Hurtado, A. Márquez, F. Santos, J. Valenzuela. Transforming triangulations on non planar surfaces.
  arXiv:math.MG/0311228
  SIAM J. Discrete Math. 24:3 (2010), 821-840. DOI: 10.1137/070697987
  


• Francisco Santos. Sobre un contraejemplo a la Conjetura de Hirsch.
  arXiv:1007.3283
  La Gaceta de la RSME, Vol. 13 (2010), Num. 3, 525-538.
  This paper was translated into German by Julian Pfeifle, and has appeared in Mitteilungen der DMV, Vol. 18-4 (Winter 2010), 214-220.


• E.D. Kim and F. Santos. An update on the Hirsch conjecture.
  arXiv:0907.1186
  Jahresbericht der Deutschen Mathematiker-Vereinigung, Volume 112(2) (June 2010), 73-98. DOI: 10.1365/s13291-010-0001-8.
  
  An unpublished "companion paper" with remarks, additional content and proofs of some of the results in this survey can be found as arXiv:0912.4235.

• J. A. de Loera, E. D. Kim, S. Onn, and F. Santos. Graphs of transportation polytopes.
  arXiv:0709.2189
  J. Combin. Theory Ser. A, 116(8), November 2009, 1306-1325. DOI 10.1016/j.jcta.2009.03.010.


• P. Sabariego and F. Santos. Triple-loop networks with arbitrarily many minimum distance diagrams.
  arXiv:0705.3631
  Discrete Mathematics, 309(6), April 2009, 1672-1684. DOI 10.1016/j.disc.2008.02.047.


• V. Pilaud and F. Santos. Multitriangulations as complexes of star polygon.
  arXiv:0706.3121
  Discrete Comput. Geom., 41(2), March 2009, 284-317. DOI 10.1007/s00454-008-9078-6.

• P. Sabariego and F. Santos. On the number of facets of three-dimensional Dirichlet stereohedra III: Full cubic groups.
  arXiv:math.CO/0608039
  Discrete Comput. Geom., 40(2) (2008), 159-189. DOI 10.1007/s00454-008-9063-0.
  
  See also part I, part II and part IV in this series.


• Christian Haase, Benjamin Nill, Andreas Paffenholz, and Francisco Santos. Lattice points in Minkowski sums.
  arXiv:0711.4393
  Electron. J. Combin., 15 (2008), no. 1, Note 11, 5 pp. DOI 10.37236/886.


• G. Rote, F. Santos, and I. Streinu. Pseudo-triangulations - a survey.
  arXiv:math.CO/0612672
  In Surveys on Discrete and Computational Geometry: Twenty Years Later, Edited by J. E. Goodman, J. Pach, and R. Pollack, Contemporary Mathematics 453, AMS, 2008. ISBN: 978-0-8218-4239-3


• O. Aichholzer, D. Orden, F. Santos, and B. Speckmann. On the Number of Pseudo-Triangulations of Certain Point Sets.
  arXiv:math.CO/0601747
  J. Combin. Theory Ser. A, 115 (2008) 254-278. DOI 10.1016/j.jcta.2007.06.002

• Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, Clemens Huemer, Attila Pór, Francisco Santos, Bettina Speckmann, Birgit Vogtenhuber. Maximizing Maximal Angles for Plane Straight-Line Graphs.
  arxiv:0705.3820
  In Algorithms and Data Structures 10th International Workshop, WADS 2007, Halifax, Canada, August 15-17, 2007, Frank Dehne, Jörg-Rüdiger Sack, Norbert Zeh (Eds.), Lecture Notes in Computer Science 4619, Springer-Verlag, 2007, pp. 458-469.
  Final version of this paper is here. DOI 10.1007/978-3-540-73951-7_40
  


• C. A. Athanasiadis, V. V. Batyrev, D. I. Dais, M. Henk, F. Santos, (Editors).
  Algebraic and Geometric Combinatorics.
  Contemporary Maths 423, AMS, Providence, 2007. ISBN: 978-0-8218-4080-1.


• D. Orden, F. Santos, B. Servatius, H. Servatius. Combinatorial Pseudo-Triangulations.
  arXiv:math.CO/0307370
  Discrete Mathematics, 307 (2007), 554-566. DOI: 10.1016/j.disc.2005.09.045.


• F. Santos, A. Schürmann, F. Vallentin. Lattice Delone simplices with exponential volume.
  arXiv:math.CO/0507119
  European J. Combin. 28:3 (2007), 801-806. DOI: 10.1016/j.ejc.2005.12.003.


• F. Santos. Geometric bistellar flips. The setting, the context and a construction.
  arXiv:math.CO/0601746
  In Proceedings of the International Congress of Mathematicians, Madrid, August 22-30, 2006 (Marta Sanz-Solé, Javier Soria, Juan Luis Varona, Joan Verdera, eds.), European Mathematical Society, 2006, Vol III, pp. 931-962. ISBN: 978-3-0371-9022-7

• D. Bochis and F. Santos. On the number of facets of three-dimensional Dirichlet stereohedra II: Non-cubic groups.
  arXiv:math.CO/0204231
  Beiträge Algebra Geom., 47:1 (2006), 89-120.
  
  See also part I, part III and part IV in this series.

• M. Develin, F. Santos, and B. Sturmfels. On the tropical rank of a matrix.
  arXiv:math.CO/0312114
  In Combinatorial and Computational Geometry (J. E. Goodman, J. Pach and E. Welzl, eds), MSRI Publications 52, Cambridge University Press, 2005, pp. 213-242. ISBN: 978-0521178396

• F. Santos. Non-connected toric Hilbert schemes.
  arXiv:math.CO/0204044.
  Mathematische Annalen, 332:3 (2005), 645-665. DOI:10.1007/s00208-005-0643-5

• F. Santos. The Cayley Trick and triangulations of products of simplices.
  arXiv:math.CO/0312069
  In Integer Points in Polyhedra -- Geometry, Number Theory, Algebra, Optimization (proceedings of the AMS-IMS-SIAM Summer Research Conference) edited by A. Barvinok, M. Beck, C. Haase, B. Reznick, and V. Welker, Contemporary Mathematics 374, American Mathematical Society, 2005, pp. 151-177. ISBN: 978-0-8218-3459-6.
• R. Haas, D. Orden, G. Rote, F. Santos, B. Servatius, H. Servatius, D. Souvaine, I. Streinu and W. Whiteley. Planar Minimally Rigid Graphs and Pseudo-Triangulations.
  arXiv:math.CO/0307347
  Computational Geometry: theory and Applications 31:1-2 (May 2005), 31-61.
  A preliminary shorter version appeared in the Proceedings of the nineteenth annual symposium on Computational geometry, ACM Press, New York, 2003, pp. 154-163.
  

• L. Bowen, J. A. de Loera, M. Develin, F. Santos. The Gromov norm of the product of two surfaces.
  arXiv:math.MG/0407176
  Topology 44:2 (March 2005), 321-339. An erratum has appeared in 47:6 (November 2008), 471-472.

• D. Orden and F. Santos. The polytope of non-crossing graphs on a planar point set.
  arXiv:math.CO/0302126
  Discrete Comput. Geom. 33:2 (2005), 275-305.

• D. Orden, G. Rote, F. Santos, B. Servatius, H. Servatius, W. Whiteley. Non-crossing frameworks with non-crossing reciprocals.
  arXiv:math.MG/0309156
  Discrete Comput. Geom., 32:4 (2004), 567-600.

• D. Orden, F. Santos. Asymptotically efficient triangulations of the d-cube.
  arXiv:math.CO/0204157
  Discrete Comput. Geom., 30:4 (2003), 509-528.
  
  An extended abstract appeared in
  "Comb01, Euroconference on Combinatorics, Graph Theory and Applications"
  Electronic Notes in Discrete Mathematics 10 (2001), 212-215.

• G. Rote, F. Santos and I. Streinu. Expansive motions and the Polytope of Pointed Pseudo-Triangulations.
  arXiv:math.CO/0206027
  In Discrete and Computational Geometry -- The Goodman-Pollack Festschrift (B. Aronov, S. Basu, J. Pach, M. Sharir, eds), Algorithms and Combinatorics 25, Springer Verlag, Berlin, June 2003, pp. 699-736. ISBN: 978-3-642-55566-4

• F. Santos and B. Sturmfels. Higher Lawrence configurations.
  arXiv:math.CO/0209326
  J. Combin. Theory, Ser. A. 103:1 (2003), 151-164.

• F. Santos and R. Seidel. A better upper bound on the number of triangulations of a planar point set.
  arxiv:math.CO/0204045
  J. Combin. Theory Ser. A, 102:1 (2003), 186-193.

• F. Santos and B. Sturmfels. Alexander duality in subdivisions of Lawrence polytopes.
  arXiv:math.CO/0202104
  Adv. Geom., 3:2 (2003), 177-189. DOI:10.1515/advg.2003.012

• F. Santos, Triangulations of oriented matroids.
  Mem. Amer. Math. Soc., volume 156, number 741, American Mathematical Society, 2002.

• C. A. Athanasiadis and F. Santos. On the topology of the Baues poset of polyhedral subdivisions.
  Topology, 41 (2002) no.3, 423-433.

• M. Azaola and F. Santos, The number of triangulations of the cyclic polytope C(n,n-4).
  Discrete Comput. Geom., 27 (2002), 29-48.

• C. A. Athanasiadis and F. Santos, Monotone paths on zonotopes and oriented matroids.
  Canad. J. Math., 53 (2001), no. 6, 1121-1140.

• F. Santos, On the refinements of a polyhedral subdivision.
  Collect. Math. 52:3 (2001), 231-256.
  WARNING This paper contains some errors. Most significantly, Theorem 2.8 is wrong, as shown by Examples 5.3.4 and 5.4.16 in the book at the top of this page.

• D. Randall, G. Rote, F. Santos and J. Snoeyink, Counting triangulations and pseudo-triangulations of wheels.
  This is the long version (8 pages) of the short one (4 pages) appeared in Proceedings 13th Canad. Conf. Comput. Geom., 2001, pp. 149-152.

• J. A. de Loera, F. Takeuchi and F. Santos, Extremal properties for dissections of convex 3-polytopes.
  arXiv:math/0012169
  SIAM J. Discrete Math. 14:2 (2001), 143-161.

• F. Santos, Realizable but not strongly Euclidean oriented matroids.
  In "Special issue on Combinatorial Geometries" (R. Cordovil and M. Las Vergnas, eds.),
  European J. Combin 22:5 (2001), 767-776.

• D. Bochis and F. Santos, On the number of facets of three-dimensional Dirichlet stereohedra I: groups with reflections.
  Discrete Comput. Geom. 25:3 (2001), 419-444.
  
  See also part II, part III and part IV in this series.

• B. Huber, J. Rambau and F. Santos, The Cayley trick, lifting subdivisions and the Bohne-Dress Theorem on zonotopal tilings.
  J. Eur. Math. Soc. (JEMS) 2:2 (2000), 179-198.

• F. Santos, A point set whose space of triangulations is disconnected.
  J. Amer. Math. Soc. 13:3 (2000), 611-637.

• M. Azaola and F. Santos, The graph of triangulations of a point configuration with d+4 vertices is 3-connected.
  Discrete Comput. Geom. 23:4 (2000), 489-536.
  
  See also the related paper:
  M. Azaola, The Baues conjecture in corank 3. Topology, 41:1, (2002) 183-209.

• C. A. Athanasiadis, J. A. de Loera, V. Reiner and F. Santos, Fiber polytopes for the projections between cyclic polytopes.
  arXiv:math.CO/9712257
  In "Special issue on Combinatorics of convex polytopes" (K. Fukuda and G. M. Ziegler, eds.),
  European J. Combin. 21:1 (2000), 19-47.

• J. Rambau and F. Santos, The generalized Baues problem for cyclic polytopes I.
  In "Special issue on Combinatorics of convex polytopes" (K. Fukuda and G. M. Ziegler, eds.),
  European J. Combin. 21:1 (2000), 65-83.
  Also available an extended version of Section 5.

• F. Santos, Triangulations with very few geometric bistellar neighbors.
  Discrete Comput. Geom. 23:1 (2000), 15-33.

• C. A. Athanasiadis, J. Rambau and F. Santos, The generalized Baues problem for cyclic polytopes II.
  In "Geometric combinatorics (Kotor, 1998)".
  Publ. Inst. Math. (Beograd) (N.S.) 66(80) (1999), 3-15.

• Christian Icking, Rolf Klein, Ngoc-Minh Le, Lihong Ma, Francisco Santos, On Bisectors for Convex Distance Functions in 3-Space,
  Proceedings 11th Canad. Conf. Comput. Geom., 1999.

• J. A. de Loera, F. Santos, J. Urrutia, The number of geometric bistellar neighbors of a triangulation.
  Discrete Comput. Geom. 21:1 (1999), 131-142.

• F. Santos, Construction of real algebraic plane nodal curves with given topology and optimal degree, I.
  Rev. Mat. Univ. Complut. Madrid, 10 (1997) 291-310.

• J. A. de Loera, S. Hosten, F. Santos, B. Sturmfels, The polytope of all triangulations of a point configuration.
  Doc. Math. J. DMV. 1 (1996) 103-119.

• F. Santos, On Delaunay oriented matroids for convex distance functions.
  Discrete Comput. Geom. 16 (1996) 2, 197-210.

• F. Santos, Inscribing a symmetric body in an ellipse.
  Inform. Process. Lett. 59 4 (1996) 175-178.

• M. J. González-López, T. Recio, F. Santos, Parametrization of semialgebraic sets.
  Math. Comput. Simulat., 42 (1996) 353-362.

• J. A. de Loera and F. Santos, An effective version of Pólya's theorem on positive definite forms.
  J. Pure Appl. Algebra, 108 (1996) 231-240.
  A correction of errors has appeared in J. Pure Appl. Algebra, 155 (2001) 309-310.

• F. Santos, Construction of singular algebraic plane nodal curves with given topology.
  In Real Analytic and Algebraic Geometry. Proccedings of the international conference, Trento, Italy, September 21--25, 1992. Walter De Gruyter Publishers, Berlin 1995, pp. 213--228.

• A. G. Corbalán, M. Mazón, T. Recio, F. Santos, On the topological shape of planar Voronoi diagrams.
  Proceedings of the 9th Annual Symposium on Computational Geometry, Association for Computing Machinery Inc., New York, 1993, 109-115.