Kutatási érdeklődési kör: Extremális gráfelmélet és kombinatorika, véges test feletti polinomok alkalmazása
Applications of the Combinatorial Nullstellensatz című
PhD értekezés
Publikációk:
A. Gács, T. Héger, Z. L. Nagy and D. Pálvölgyi, Permutations,
hyperplanes and polynomials over finite fields, Finite Fields and Applications, 16 (2010),
301-314. pdf
Z. L. Nagy, A Multipartite Version of the Turan Problem
- Density Conditions and Eigenvalues, The Electronic J. Combinatorics,
18(1), P46, (2011) 15pp. pdf
Z. Király, Z. L. Nagy, D. Pálvölgyi, M. Visontai: On families of weakly
cross-intersecting set-pairs, Fundamenta Informaticae 117 (1-4) (2012), 189-198. pdf
P. Csikvári, Z. L. Nagy: The Density Turán problem, Combinatorics, Probability and Computing, 21 (4) , (2012), 531-553. pdf
Z. L. Nagy, L. Özkahya, B. Patkós, M. Vizer: On the ratio of maximum and minimum degree in
maximal intersecting families, Discrete Mathematics 313, (2) , (2013), 207 - 211. pdf
A. Grzesik, M. Mikalacki, Z. L. Nagy, A. Naor, B. Patkós, F. Skerman: Avoider-Enforcer star games, The Seventh European Conference on Combinatorics, Graph Theory and Applications. Scuola Normale Superiore, (2013) 375-379.
Z. L. Nagy: Permutations over cyclic groups, European J. Combinatorics, 41C, (2014), 68-78. pdf
Gy. Károlyi, Z. L. Nagy: A simple proof of the Zeilberger - Bressoud q-Dyson theorem, Proc. Amer. Math. Soc. 142 (2014), 3007-3011 pdf
Z. L. Nagy: Density version of the Ramsey problem and the
directed Ramsey problem, Australasian Journal of Combinatorics 66 (2016) 240-255 pdf
Gy. Károlyi, Z. L. Nagy, F. Petrov, V. Volkov: A new approach to constant term identities and Selberg-type integrals, Advances in Mathematics277 (2015) 252-282 pdf
A. Grzesik, M. Mikalacki, Z. L. Nagy, A. Naor, B. Patkós, F. Skerman: Avoider-Enforcer star games, DMTCS17:1, (2015) 145-160. pdf
Y. Kim, M. Kumbhat, Z.L. Nagy, B. Patkós, A. Pokrovskiy, M. Vizer: Identifying codes and searching with balls in graphs, Discrete Applied Mathematics, 193, (2015), 39-47. pdf
Z. L. Nagy, B. Patkós: On the number of maximal intersecting k-uniform families and further applications of Tuza's set pair method, Electronic J. Combinatorics. 22(1) P1.83 (2015) 10pp pdf
Z. L. Nagy, On the number of k-dominating independent sets, Journal of Graph Theory-nál, 84(4), (2017) 566-580. pdf
T. Héger, Z. L. Nagy, Dominating sets in projective planes, Journal of Combinatorial Designs 25(7), (2017) 293-309. pdf
Z. L. Blázsik, Z. L. Nagy, Partition dimension of projective planes, European J. Combinatorics65, (2017) 37-44. pdf
Z. L. Nagy, Saturating sets in projective planes and hypergraph covers, Discrete Mathematics, 341, (2018) 1078-1083. pdf
Z. L. Nagy, Coupon-Coloring and total domination in
Hamiltonian planar triangulations, Graphs and Combinatorics34(6), (2018) 1385-1394 pdf
J. Barát, Z. L. Nagy, Transversals in generalized Latin squares, Ars Mathematica Contemporanea16(1), (2019) 39-47.
pdf
Z. L. Nagy, Supersaturation of C_4: from Zarankiewicz towards
Erdős-Simonovits-Sidorenko, European J. Combinatorics75, (2019) 19-31.
pdf
G. Damásdi, L. Martínez-Sandoval, D. T. Nagy Z. L. Nagy, Triangle areas determined by arrangements of planar lines, Discrete Mathematics 343(12), (2019) pdf
Andrzej Grzesik, Oliver Janzer, Z. L. Nagy, The Turán number of blow-ups of trees, J. Combinatorial Theory Ser. B., (2022) pdfVol. 156, Pages 299-309
Z. L. Blázsik, Z. L. Nagy, Spreading linear triple systems and expander triple systems, European J. Combinatorics, (2019) 89, pdf
Z. L. Blázsik, A. Blokhuis, S. Miklavic, Z. L. Nagy, T. Szőnyi, On the balanced upper chromatic number of finite projective planes, Discrete Maths. (2021), Vol 344 (3) 112266, pdf
Oliver Janzer, A. Methuku, Z. L. Nagy, On the Turán number of the blow-up of the hexagon, SIAM J. Discrete Mathematics, (2022) 36(2), 1187-1199. pdf
Oliver Janzer, Z. L. Nagy, Coloring linear hypergraphs: the Erdős-Faber-Lovász conjecture and the Combinatorial Nullstellensatz, Designs, Codes and Cryptography, (2021),
pdf
Dániel Gerbner, Zoltán Lóránt Nagy, Máté Vizer,
Unified approach to the generalized Turán problem and supersaturation,
Discrete Mathematics, 345(3), 112743, (2022) pdf
Dávid Matolcsi, Zoltán Lóránt Nagy, Generalized Outerplanar Turán numbers and maximum number of k-vertex subtrees, Discrete Applied Mathematics,
307,
115-124, (2022) pdf
Zoltán Lóránt Nagy, Levente Szemerédi, Steiner triple systems and spreading sets in projective spaces, J. Combin Designs, 30(8) 549-560 (2021) pdf
Tamás Héger, Zoltán Lóránt Nagy, Short minimal codes and covering codes via strong blocking sets in projective spaces, IEEE Transactions on Information Theory, 68(2), 881-890.(2021) pdf
Pál Bärnkopf, Zoltán Lóránt Nagy, Zoltán Paulovics, A note on internal partitions: the 5-regular case and beyond, Graphs and Combinatorics, 40:36 (2024) pdf
András Imolay, János Karl, Zoltán Lóránt Nagy, Benedek Váli, Multicolor Turán numbers, Discrete Mathematics, (2022) 345(9), 112976 pdf
Benedek Kovács, Zoltán Lóránt Nagy, Multicolor Turán numbers II. -- a generalization of the Ruzsa-Szemerédi theorem and new results on cliques and odd cycles, arXiv preprint, (2022) ArXiv link
Dániel T. Nagy, Zoltán Lóránt Nagy, Russ Woodroofe, The extensible No-Three-In-Line problem, European Journal of Combinatorics,
114, December 2023, 103796 pdf
Benedek Kovács, Zoltán Lóránt Nagy, Avoiding intersections of given size in finite affine spaces
AG(n,2), arXiv preprint, (2023) ArXiv link
János Barát, Andrzej Grzesik, Attila Jung, Zoltán Lóránt
Nagy, Dömötör Pálvölgyi, The double Hall property and cycle covers in bipartite graphs, arXiv preprint, (2023) ArXiv link
Gergely Kiss, Ádám Markó, Zoltán Lóránt
Nagy, Gábor Somlai, On polynomials of small range sum, arXiv preprint, (2023) ArXiv link
Bence Csajbók, Z.L. Nagy, Complete 3-term arithmetic progression free sets of small size in vector spaces and other abelian groups. (2024)
arXiv preprint ArXiv link
Zoltán Lóránt
Nagy, Partitioning the projective plane to two incidence-rich parts, arXiv preprint (2024) ArXiv link