I usually teach at the Degree in Mathematics FME-GM , the Degree of Informatics Engineering FIB-GEI and the Degree of Data Science and Engineering FIB-GCED.

Informació dels cursos anteriors i materials antics aquí
Previous years, including some old teaching materials here

Research

Preprints

Publications

1. Marked graphs and the chromatic symemtric function (with J. Aliste-Prieto, R. Orellana and J. Zamora), SIDMA, to appear preprint

2. Approximation and decomposition in lattices of clutters (with J. Martí-Farré), Disc. Math. 346 (2023).

3. Tutte uniqueness and Tutte equivalence (with J. Bonin), contributed chapter to the Handbook on the Tutte Polynomial and Related Topics (J. Ellis-Monaghan and I. Moffat, eds.), CRC Press, 2022.

4. On the smallest trees with the same restricted U-polynomial and the rooted U-polynomial (with J. Aliste-Prieto and J. Zamora), Discrete Math. 344 (2021), 112255. UPC repository

5. Transformation and decomposition of clutters into matroids (with J. Martí-Farré), Adv. in Maht. 312 (2017), 286--314. UPC repository

6. On trees with the same restricted U-polynomial and the Prouhet-Tarry-Escott problem (with J. Aliste-Prieto and J. Zamora), Discrete Math. 340 (2016), 1435-1441.. UPC repository

7. Extensions and presentations of transversal matroids (with J. Bonin), European J. Combin. 50 (2015), 18-29. preprint

8. Lower bounds on the maximum number of non-crossing acyclic graphs (with C. Huemer), European J. Combin. 48 (2015), 48-62. arxiv

9. Completion and decomposition of a clutter into representable matroids (with J. Martí-Farré), Linear Algebra Appl. 472 (2015), 31-47. UPC repository

10. An involution on bicubic maps and beta(0,1)-trees (with A. Claesson and S. Kitaev), Australasian J. Combin. 61 (2015), 1-18. paper

11. Enumeration of fixed points of an involution on beta(1,0)-trees (with S. Kitaev), Graphs and Combin. 30 (2014), 1207-1221. arxiv

12. Extremal statistics on noncrossing configurations (with M. Drmota and M. Noy), Discrete Math. 327 (2014), 103--117.preprint

13. On the number of self-dual rooted maps (with S. Kitaev and M. Noy), European J. Combin. 35 (2014), 377--387. preprint

    [See Alba Delgado's bachelor thesis here for a bijective proof of Thm. 1 (item 3).]

14. Catalan lattice paths with rook, queen and spider steps (with J. Kung), J. Combin. Theory Series A 120 (2013), 379--389. arxiv

15. On the evaluation of the Tutte polynomial at the points (1,-1) and (2,-1) (with A. Goodall, C. Merino and M. Noy), Annals Combin. 17 (2013), 311--332. preprint

16. On the maximum number of cycles in outerplanar and series-parallel graphs (with M. Noy), Graphs Combin. 28 (2012), 265-175. preprint

17. The Tutte polynomial characterizes simple outerplanar graphs (with A. Goodall, S. Noble and M. Noy), Combin. Prob. Comput. 20 (2011), 609-613. preprint

18. Spanning trees of 3-uniform hypergraphs (with A. Goodall), Adv. Appl. Math. 47 (2011), 840--868. arxiv

19. Characterizations of transversal and fundamental transversal matroids (with J. Bonin and J. Kung), Elec. J. Combin. 18 (2011), paper 106. paper

20. Lattice and Schroeder paths with periodic boundaries (with J. Kung, X. Sun and C. Yan), J. Stat. Planning Inference 139 (2009), 2014-2027. arxiv

21. The lattice of cyclic flats of a matroid (with J. Bonin), Annals of Combin. 12 (2008), 155-170. arxiv

22. Representation of numerical semigroups by Dyck paths (with M. Bras-Amorós), Semigroup Forum 75 (2007), 676-681. arxiv

23. k-noncrossing and k-nonnesting graphs and fillings of Ferrers diagrams, Combinatorica 27 (2007), 699-720. arxiv

24. A natural family of flag matroids, SIAM J. Disc. Math. 21 (2007), 130-140. arxiv

25. On the symmetry of the distribution of k-crossings and k-nestings in graphs, Elec. Journal of Combin. 13 (2006), note 21. paper

26. Lattice path matroids: structural properties (with J. Bonin), Eur. Journal of Combin. 27 (2006), 701-783. arxiv

27. Tutte uniqueness of line graphs (with M. Noy), Discrete Math. 301 (2005), 254-264. preprint

28. A solution to the tennis ball problem (with M. Noy), Theoret. Comput. Sci. 346 (2005), 254-264. arxiv

29. On matroids determined by their Tutte polynomials (with M. Noy), Discrete Math. 302 (2005), 52-76. preprint

30. On the number of bases of bicircular matroids (with O. Gimenez and M. Noy), Ann. Combin. 9 (2005), 35-45. preprint

31. On graphs determined by their Tutte polynomials (with M. Noy), Graphs Combin. 20 (2004) 105--119. preprint

32. Tutte polynomials of generalized parallel connections (with J. Bonin), Adv. Appl. Math. 32 (2004) 31--43. preprint

33. T-uniqueness of some families of k-chordal matroids (with J. Bonin), Adv. Appl. Math. 32 (2004) 10--30. preprint

34. Lattice path matroids: enumerative aspects and Tutte polynomials (with J. Bonin and M. Noy), J. Comb. Theory Ser. A 104 (2003) 63--94. arxiv

35. Locally grid graphs: classification and Tutte uniqueness (with A. Márquez, P. Revuelta and M. Noy), Discrete Math. 266 (2003) 327--352. wpreprint

36. Irreducibility of the Tutte polynomial of a connected matroid (with C. Merino and M. Noy), J. Comb. Theory Ser. B 83 (2001) 298-304. preprint

Slides

• Transversal matroids (slides for a matroid school in Neuchatel, march 2015)

Coauthors

Links

Conferences, events

Discrete Mathematics Days 20/22 in Santander, Spain (July 4-6, 2022)
FPSAC 2021 in Ramat Gan, Israel (January 10-13, 2022)

Other