Welcome to my personal homepage! Currently, I am a postdoc of Benny Sudakov at ETH Zürich.

Before that, I was a joint Ph.D. student in Mathematics at University of Warwick
and in Computer Science at Université Paris Diderot.
My advisors were Dan Kráľ and Jean Sébastien Sereni.
The final version of my thesis can be found here (it contains a beer voucher as an easter egg, btw; send me an email if you find it!).

There is also my Czech homepage.

**office:**HG J 14.3, ETH Zürich**e-mail:***honza-something_is_missing_here-ucw.cz*

- Extremal and probabilistic combinatorics
- Structural graph theory
- Ramsey theory

- Exercises for Topics in Mathematics of Computer Science (Fall 2014/2015)
- Graph limits seminar (Spring 2014/2015)
- Exercises for Algebra I (Fall 2015/2016)

- F. Kardoš, D. Kráľ, J. Volec:
*Fractional colorings of cubic graphs with large girth*, SIAM Journal on Discrete Mathematics**25**(2011), 1454-1476. - D. Kráľ, P. Škoda, J. Volec:
*Domination number of cubic graphs with large girth*, Journal of Graph Theory**69**(2012), 131-142. - O. Bílka, J. Jirásek, P. Klavík, M. Tancer, J. Volec:
*On the Complexity of Planar Covering of Small Graphs*, Proceedings 37 th Workshop on Graph-Theoretic Concepts in Computer Science 2011 (WG'11), Lecture Notes in Computer Science vol. 6986, pp. 83–94, Springer-Verlag, 2011. - D. Kráľ, M. Krnc, M. Kupec, B. Lužar, J. Volec:
*Extending fractional precolorings*, SIAM Journal on Discrete Mathematics**26**(2012), 647-660. - F. Kardoš, D. Kráľ, J. Volec:
*Maximum edge-cuts in cubic graphs with large girth and in random cubic graphs*, Random Structures and Algorithms**41**(2012), 506-520. The auxiliary files related to this paper are here. - Z. Dvořák, J.-S. Sereni, J. Volec:
*Subcubic triangle-free graphs have fractional chromatic number at most 14/5*, Journal of the London Mathematical Society**89**(2014), 641-662. - J. van den Heuvel, D. Kráľ, M. Kupec, J.-S. Sereni, J. Volec:
*Extensions of Fractional Precolorings show Discontinuous Behavior*, Journal of Graph Theory**77**(2014), 299-329. - J. Balogh, P. Hu, B. Lidický, O. Pikhurko, B. Udvari, J. Volec:
*Minimum number of monotone subsequences of length 4 in permutations*, Combinatorics, Probability and Computing**24**(2015), 658-679. - R. Glebov, D. Kráľ, J. Volec:
*A problem of Erdos and Sos on 3-graphs*, Israel Journal of Mathematics, accepted for publication. Preprint available as arXiv:1303.7372. The files needed for a verification of the proof of Lemma 5 are here.

- R. Glebov, D. Kráľ, J. Volec:
*Compactness and finite forcibility of graphons*, submitted. Preprint available as arXiv:1309.6695. - J.-S. Sereni, J. Volec:
*A note on acyclic vertex-colorings*, submitted. Preprint available as arXiv:1312.5600. - Z. Dvořák, J.-S. Sereni, J. Volec:
*Fractional coloring of triangle-free planar graphs*, submitted. Preprint available as arXiv:1402.5331. - J. Balogh, P. Hu, B. Lidický, F. Pfender, J. Volec, M. Young:
*Rainbow triangles in three-colored graphs*, submitted. Preprint available as arXiv:1408.5296. - B. Sudakov, J. Volec:
*Properly colored and rainbow copies of graphs with few cherries*, submitted. Preprint available as arXiv:1504.06176. - B. Sudakov, N. Kamčev, J. Volec:
*Bounded colorings of multipartite graphs and hypergraphs*, submitted. Preprint available as arXiv:1601.02271.

- R. Glebov, D. Kráľ, J. Volec:
*An application of flag algebras to a problem of Erdös and Sós*, Electronic Notes in Discrete Mathematics 43 (2013), 171-177. - Z. Dvořák, J.-S. Sereni, J. Volec:
*Subcubic triangle-free graphs have fractional chromatic number at most 14/5*, proceedings of Eurocomb'13, CRM Series 16 (2013), 497-502. - R. Glebov, D. Kráľ, J. Volec:
*A problem of Erdös and Sós on 3-graphs*, proceedings of Eurocomb'13, CRM Series 16 (2013), 3-8.

- I organized Spring School on Combinatorics 2009, 2010 (both together with Dan Kráľ and Zuzka Safernová), and 2011 (together with Dan Kráľ and Tomáš Toufar).

- I was a goalkeeper of Daytona B&W, playing 6-a-side league PKFL in Prague.
- From time to time I participate in some short theatre sketch. A few of them can be found in the record of Christmas Academy 2008 of Gymnázium Litoměřická (here, here and here; in Czech).
- I was co-organising various leisure time activities and summer camps of the Youth Center for Prague 9 AKA Dům dětí a mládeže Prahy 9.

- Julian Alps (hike to Koča pri Triglavskih jezerih) + Škocjanská jama – June 2010
- Quarries Malá and Velká Amerika – July 2011
- High Tatras (hike to Priečne sedlo) – September 2011
- Julian Alps (hike to Triglav) – October 2011
- Snowdonia – March 2013
- Rocky Mountains – May 2013
- Vosges – March 2014
- Vosges – March 2014 #2