- Subset sums avoiding quadratic nonresidues
pdf,
Acta Arithmetica 135 (2008), 91-98

- A note on character sums
357-363 pdf,
Acta Math. Hungar. 123 (2009), 357-363

- (with K. Gyarmati and A. Sárközy) Density and Ramsey type results on
algebraic equations with restricted solution sets
pdf,
Combinatorica 32 (4) (2012), 425-449

## Combinatorics, graph theory

- On a conjecture of V. Nikiforov
pdf,
Discrete Mathematics 309 (2009), 4522-4526

- On a poset of trees
pdf,
Combinatorica 30(2) (2010), 125-137

- Integral trees of arbitrarily large diameters
pdf,
Journal of Algebraic Combinatorics 32(3) (2010), 371-377

POSTER!

Short note on the integrality of some trees pdf (This is Andries E. Brouwer's proof of the integrality of some trees.)

- (with M. R. Oboudi) On the roots of edge cover polynomials of
graphs
pdf,
European Journal of Combinatorics 32(8) (2011), 1407-1416

- Applications of the Kelmans transformation: extremality of the threshold
graphs
pdf,
The Electronic Journal of Combinatorics 18 (2011), #P182

Applications of the Kelmans transformation: extremality of the threshold graphs (revised version) pdf.

(In this version I corrected some mistakes in the historical remarks.)

- (with Z. L. Nagy) Density Turán problem
pdf,
Combinatorics, Probability and Computing 21(4) (2012), 531-553

- Two remarks on the adjoint polynomial
pdf,
European Journal of Combinatorics 33 (2012), 583-591

- On a poset of trees II
pdf,
Journal of Graph Theory 74 (2013), 81-103

- Note on the smallest root of the independence polynomial
pdf,
Combinatorics, Probability and Computing 22(1) (2013), 1-8

- (with Z. Lin) Graph homomorpism between trees
pdf,
Electronic Journal of Combinatorics 24(4) (2014), P 4.9

- (with Z. Lin) Homomorphisms of trees into a path,
pdf,
SIAM J. Discrete Math 29(3) (2015), 1406-1422

- (with M. Abért, T. Hubai) Matching measure, Benjamini-Schramm convergence and the monomer-dimer free energy,
pdf,
Journal of Statistical Physics 161 (2015), 16-34

- (with P. E. Frenkel) Benjamini-Schramm continuity of root moments of
graph polynomials
pdf,
European Journal of Combinatorics (Special issue on recent advances in graphs and analysis) 52 (2016), 302-320

- (with M. Abért, P. E. Frenkel and G. Kun) Matchings in Benjamini-Schramm convergent graphs sequences,
pdf,
Transactions of the American Mathematical Society 368 (2016), 4197-4218

- Matchings in vertex-transitive bipartite graphs,
pdf,
Israel Journal of Mathematics 215(1) (2016), 99-134

- Lower matching conjecture, and a new proof of Schrijver's and Gurvits's theorems,
pdf,
Journal of the European Mathematical Society 19 (2017), 1811-1844

- (with P. E. Frenkel, J. Hladky and T. Hubai) Chromatic roots and limits of dense graphs,
pdf,
Discrete Mathematics 340(5) (2017), 1129-1135

- Co-adjoint polynomial,
pdf

- (with Z. Lin) Sidorenko's conjecture, colorings and independent sets
pdf,
Electronic Journal of Combinatorics 24(1) (2017), P1.2

- (with E. Cohen, W. Perkins, P. Tetali) The Widom-Rowlinson model, the hard-core model and the extremality of the complete graph
pdf,
European Journal of Combinatorics 62 (2017), 70-76

- (with S. Akbari, A. Ghafari, S. Khalashi Ghezelahmad, M. Nahvi) Graphs with integer matching roots,
pdf,
Discrete Applied Mathematics 224 (2017), 1-8

- Extremal regular graphs: the case of the infinite tree,
pdf

- (with B. Szegedy) On Sidorenko's conjecture for determinants and Gaussian Markov random fields,
pdf

- (with F. Bencs) Note on the zero-free region of the hard-core model,
pdf

Primes and secrets (in Hungarian), Boston, video

Statistical matching theory with a glimpse towards extremal regular graphs, Cambridge, video

Statistical matching theory, Banff, video

Counting Degree-constrained Subgraphs and Orientations, Berkeley, video