Research 

 

 

 

 

                    

 

Quan surts per fer el viatge
cap a Ítaca, has de pregar
que el camí sigui llarg,
ple d'aventures i de coneixences
 
Konstantinos P. Kavafis

Main

Research

Courses




My Thesis, defended the 18th of September of 2009, in Barcelona.

Preprints, Submitted, Accepted and Published papers

Analytic Combinatorics of Graphs and maps

16.- Subgraph statistics in subcritical graph classes
To appear at Random Structures & Algorithms
Michael Drmota, Lander Ramos

15.- Spanning trees in random series-parallel graphs
Advances in Applied Mathematics 75 (2016): 18-55
Julia Ehrenmuller

14.- Many 2-level polytopes from matroids
Discrete & Computational Geometry 54 (3) (2015):954-979

Francesco Grande

13.- On the limiting distribution of the metric dimension for random forests

European Journal of Combinatorics 49 (2015): 68-89

Corrigendum
Dieter Mitsche

12.- Analytic combinatorics of chord and hyperchord diagrams with k crossings

Advances in Applied Mathematics 57 (2014): 60-100
Vincent Pilaud

11.- On the probability of planarity of a random graph near the critical point

Proceedings of the American Mathematical Society 143 (2015): 925-936

Conference version at FPSAC'2013, Paris. DMTCS Proceedings of FPSAC'13, 791-802
Marc Noy, Vlady Ravelomanana

10.- Asymptotic enumeration of non-crossing partitions on surfaces

Discrete Mathematics, 313 (5) (2013), 635–649

Conference version at ICALP'2010, Bordeaux. Volume 6198 of LNCS (2010) 372–383
Ignasi Sau, Dimitrios Thilikos

9.- Dynamic Programming for H-minor-free Graphs (Extended Abstract)

Proceedings of COCOON'12, Sydney. Volume 743 of LNCS (2012) 86-97
Ignasi Sau, Dimitrios Thilikos

8.- Dynamic programming for graphs on surfaces

ACM Transactions of Algorithms, 10 (2) (2014), Article 8

Conference version at ICALP'2010, Bordeaux. Volume 6198 of LNCS (2010) 372–383
Ignasi Sau, Dimitrios Thilikos

7.- Graph classes with given 3-connected components: asymptotic enumeration
and random graphs. Random Structures & Algorithms, 42 (4) (2013), 438-479

Conference version Eurocomb'07: Electronic Notes in Discrete Mathematics, 29 (2007), 521-529
Omer Gimenez, Marc Noy

6.- Counting simplicial decompositions of surfaces with boundaries
European Journal of Combinatorics, 33 (3) (2012), 302-325
Olivier Bernardi

5.- Outerplanar obstructions for the vertex feedback set

European Journal of Combinatorics, 33 (5) (2012), 948-968

Conference version at Eurocomb'09: Electronic Notes in Discrete Mathematics 34 (2009) 167-171
Konstantinos Stavropoulos, Dimitrios Thilikos

4.- Asymptotic study of subcritical graph classes

SIAM Journal on Discrete Mathematics, 25 (4) (2011), 1615-1651
Michael Drmota, Eric Fusy, Mihyun Kang, Veronika Kraus

3.- Del teorema de los cuatro colores a la gravedad cuántica 2D: enumeración de mapas

La Gaceta de la Real Sociedad Matemática Española. 14-3, (2011). In Spanish.

A smaller version with the details of the quadratic method.

2.- Enumeration and limit laws of dissections on a cylinder

Discrete Mathematics, 310 (19) (2010), 2519-2541

1.- Counting polygon dissections in the projective plane
Advances in Applied Mathematics 41 (2008), 599-619
Marc Noy



Additive Combinatorics and Number Theory

9.- Counting configuration-free sets in groups

Submitted

Oriol Serra, Lluis Vena

8.- Threshold functions for systems of equations on random sets

to appear at Mathematishe Zeitschrift

Conference version at Erdös Centennial. Electronic Notes in Discrete Mathematics 43 (5) (2013), 113–116
Christoph Spiegel, Ana Zumalacárregui

7.-The least common multiple of sets of positive integers

Journal of Number Theory 144 (2014): 92-104
Javier Cilleruelo, Paulius Sarka, Ana Zumalacárregui

6.-On the error term of the logarithm of the lcm of quadratic sequences

Journal de Théorie des Nombres de Bordeaux 25 (2) (2013) 457-470
Paulius Sarka, Ana Zumalacárregui

5.- On polynomial representation functions for multivariate linear forms

European Journal of Combinatorics, 34 (8) (2013) 1429-1435. Volume in Honor of Yahya Ould Hamidoune

4.- On the fractional Parts of a^n/n

Bulletin of the London Mathematical Society 45 (2) (2013), 249-256
Javier Cilleruelo, Angel Kumchev, Florian Luca, Igor Shparlinski

3.-On the number of nonzero digits of some integer sequences

Central European Journal of Mathematics, 11(1) (2013) 188-195
Javier Cilleruelo, Florian Luca, Ana Zumalacarregui

2.-A lower bound for the size of a Minkowski sum of dilates

Combinatorics, Probability and Computing, 20 (2) (2011), 249-256
Yahya Ould Hamidoune

1.- On a question of Sarkozy and Sos for bilinear forms
Bulletin of the London Mathematical Society, 41 (2) (2009), 274-280
Javier Cilleruelo


Miscellanea

4.- Pentagonal chains and annuli as models for designing nanostructures from cages

Journal of Mathematical Chemistry 54 (3) (2016), 765-776

Josep Oliva, Andrey A. Dobrynin, Vladimir Rosenfeld

3.- Borane Polyhedra as Building Blocks for Unknown but Potentially Isolatable New Molecules – Extensions based on Computations of the Known B18H22 Isomers

Croatia Chemica Acta 86 (4) (2013), 485-494
Josep Oliva, Drahomír Hnyk, John Kennedy, Vladimir Rosenfeld

2.- Mathematical essentials of quantum computing
Butlleti de la Societat Catalana de Matemàtiques 28 (2) (2013), 183-231

Presented at the conference New Trends in Complex Quantum System Dynamics
Sebastià Xambó-Descamps

1.- Enhancing mathematical research in high school

Conference version at 12th International Congress on Mathematical Education
Ferran Alet, Laura Morera


Places where I have made research





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Creada el 10 de desembre de 2008