Papers and preprints



Lilla Tóthmérész, The two-variable hypergraph Tutte polynomial via embedding activities, (arXiv)

Tamás Kálmán, Lilla Tóthmérész, Degrees of interior polynomials and parking function enumerators, submitted, (arXiv)

Lilla Tóthmérész, Consistency of the planar rotor-routing action via the trinity definition, EGRES Quick Proof, link

Kristóf Bérczi, Hung P. Hoang, Lilla Tóthmérész, On approximating the rank of graph divisors, Discrete Mathematics, Volume 346, Issue 9, (arXiv)

Lilla Tóthmérész, A geometric proof for the root-independence of the greedoid polynomial of Eulerian branching greedoids, J. Combin. Theory Ser. A 206 (2024), 105891. (journal link)(arXiv)

Tamás Kálmán, Lilla Tóthmérész, h^*-vectors of graph polytopes using activities of dissecting spanning trees, Algebr. Comb. 6 (2023), no. 6, 1637--1651. (arXiv)

Tamás Kálmán, Lilla Tóthmérész, Ehrhart theory of symmetric edge polytopes via ribbon structures (arXiv)

Tamás Kálmán, Lilla Tóthmérész, Root polytopes and Jaeger-type dissections for directed graphs, Mathematika 68 (2022), no. 4, 1176--1220. (arXiv)

Lilla Tóthmérész, Rotor-routing reachability is easy, chip-firing reachability is hard, European Journal of Combinatorics, Volume 101, March 2022, 103466 (arXiv)

Gergő Gombos, Dávid Kis, Lilla Tóthmérész, Tamás Király, Szilveszter Nádas, Sándor Laki, Flow Fairness with Core-Stateless Resource Sharing in Arbitrary Topology, IEEE Access, vol. 10, pp. 120312-120328, 2022

Viktor Kiss, Lionel Levine, Lilla Tóthmérész, The devil's staircase for chip firing on random graphs and on graphons, submitted (arXiv)

Tamás Kálmán, Seunghun Lee, Lilla Tóthmérész, The sandpile group of a trinity and a canonical definition for the planar Bernardi action, Combinatorica 42 (2022), suppl. 2, 1283--1316. (arXiv) slides, a simplified extract concentrating on the canonical definition

Tamás Kálmán, Lilla Tóthmérész, Hypergraph polynomials and the Bernardi process, Algebraic Combinatorics, Volume 3 (2020) no. 5 p. 1099-1139 (arXiv)

Andreas Gross, Farbod Shokrieh, Lilla Tóthmérész, Effective divisor classes on metric graphs, Mathematische Zeitschrift 302 (2022), no. 2, 663--685. (arXiv)

Bálint Hujter, Lilla Tóthmérész, Chip-firing based methods in the Riemann-Roch theory of directed graphs, European Journal of Combinatorics 78: pp. 90-104. (2019) (arXiv)

Lilla Tóthmérész, Algorithmic aspects of rotor-routing and the notion of linear equivalence, Discrete Applied Mathematics 236: pp. 428-437. (2018) (arXiv)

Zoltán Király, Lilla Tóthmérész, On Ryser's conjecture for t-intersecting and degree-bounded hypergraphs, Electronic Journal of Combinatorics 24:(4) Paper #P4.40. (2017) (arXiv)

Bálint Hujter, Viktor Kiss, Lilla Tóthmérész, On the complexity of the chip-firing reachability problem,  Proc. Amer. Math. Soc. 145 (2017), 3343-3356 (arXiv)

Viktor Kiss, Lilla Tóthmérész, Chip-firing games on Eulerian digraphs and NP-hardness of computing the rank of a divisor on a graph, Discrete Applied Mathematics 193 (2015) 48-56 (arXiv)

Gregory Kucherov, Lilla Tóthmérész, Stéphane Vialette, On the combinatorics of suffix arrays, Information Processing Letters 113 (2013) 915-920 (arXiv)



My thesis