Homepage of Tamás Héger

Magyar változat.



Eötvös Loránd University, Institute of Mathematics, Department of Computer Science, room 3.609
Budapest, Hungary

Research interests: finite geometry, finite geometric graph constructions.
I am a research fellow at the MTA-ELTE Geometric and Algebraic Combinatorics Research Group.


Homepage of the Finite Geometry Seminar.

Mathscinet profile
Google scholar profile
ResearchGate profile




Publications:

Dominating sets in projective planes (with Zoltán Lóránt Nagy). To appear in Journal of Combinatorial Designs. manuscript (pdf)

Blocking and Double Blocking Sets in Finite Planes (with J. De Beule, T.~Szônyi, G. Van de Voorde). The Electronic Journal of Combinatorics 23:(2) (2016), \#P2.5.pdf

Semiarcs with a long secant in PG(2,q) (with B. Csajbók and Gy. Kiss). Innovations in Incidence Geometry 14 (2015), pp 1-26. pdf

Search problems in vector spaces (with B. Patkós and M. Takáts). Designs, Codes and Cryptography 76:(2) pp. 207-216. (2015). Manuscript available on arxiv.org, link to pdf

Some graph theoretic aspects of finite geometries. PhD Thesis (2013). Pdf

Resolving sets and semi-resolving sets in finite projective planes (with M. Takáts). Electronic J. Comb., Volume 19, Issue 4 (2012), 21 pages. Available on the homepage of the journal, link to pdf

The 2-blocking number and the upper chromatic number of PG(2,q) (with G. Bacsó and T. Szônyi). Journal of Combinatorial Desings, Volume 21, Issue 12 (2013) pp. 585-602. Manuscript: pdf

The Zarankiewicz problem, cages, and geometries (with G. Damásdi and T. Szônyi). Annales Univ. Eötvös Loránd LVI (2013), 3-37. Manuscript: pdf
NOTE: The correct value of Z_{2,2}(15,15) is 61 as reported by Brendan Mckay in June, 2015. In this article we used 60 instead as published by Richard K. Guy.
Three more errors in Guy's (and hence in our) table was reported by Andrew Kay (April 2016), as follows: Z_{2,2}(14,26)=82; Z_{2,2}(14,27)=84; Z_{2,2}(14,28)=86. Andrew Kay maintains an online database for Zarankiewicz numbers.

On (k,6) graphs arising from projective planes (with A. Gács and Zs. Weiner), European Journal of Combinatorics 34 (2013) pp. 285-296. Manuscript: pdf

Finding small regular graphs of girth 6, 8, and 12 as subgraphs of cages (with G. Araujo-Pardo, C. Balbuena), Discrete Math. 310(8) (2010) 1301-1306. Manuscript: pdf

Permutations, hyperplanes and polynomials over finite fields (with A. Gács, L. Z. Nagy and D. Pálvölgyi), Finite Fields And Their Applications 16:(5) pp. 301-314 (2010). Manuscript: pdf

On geometric constructions of (k,g)-graphs (with A. Gács), Contrib. Discrete Math. 3 (2008), no. 1, 63-80. Manuscript: pdf

Szimmetrikus struktúrák. Master's Thesis (in Hungarian) (2007). Pdf