My research concentrates on Graph Theory and Design Theory.

List of my papers:

  1. (with Z. Skupień) Self-converse and oriented graphs among the third parts of nearly complete digraphs, Combinatorica 18 (1998) 413-424.
  2. (with J. Ivančo, Z. Skupień) Decomposition of multigraphs into isomorphic graphs with two edges, Ars Combin. 51 (1999) 105-112.
  3. (with Z. Skupień) On some third parts of nearly complete digraphs, Discrete Math. 212 (2000) 129-139.
  4. (with P. Gvozdjak, P. Horák, Z. Skupień) On the strong chromatic index of cyclic multigraphs, Discrete Appl. Math. 99 (2000) 23-38.
  5. (with P. Gvozdjak, P. Horák, Z. Skupień) Strong chromatic index for multigraphs, Util. Math. 57 (2000) 21-32.
  6. (with D. Fronček) Halving transversal designs, J. Combin. Des. 8 (2000) 83-99.
  7. (with J. Ivančo, Z. Skupień) Decomposition of multigraphs into parts with two edges, Discuss. Math. Graph Theory 22 (2002) 113-121.
  8. (with A. Rosa) Perfect 1-factorizations of K_{16} with nontrivial automorphism group, J. Combin. Math. Combin. Comput. 47 (2003) 97-111.
  9. (with J. Siagiová) A covering construction for packing disjoint copies of the Hoffman-Singleton graph into K_{50}, J. Combin. Des. 11 (2003) 408-412.
  10. (with E. Mendelsohn, A. Rosa) Packing Petersen graphs into K_{10}, Bull. Inst. Combin. Appl. 39 (2003) 85-86.
  11. (with A. Rosa) Embedding Steiner triple systems into Steiner systems S(2,4,v), Discrete Math. 274 (2004) 199-212.
  12. (with J. Kratochvil, Z. Lonc, Z. Skupień) Edge decompositions of multigraphs into multi-2-paths, Opuscula Math. 24 (2004) 97-102.
  13. (with Z. Lonc, Z. Skupień) Edge decompositions of multigraphs into 3-matchings, Graphs Combin. 20 (2004) 507-515.
  14. (with D. Fronček) Round robin tournaments with one bye and no breaks in home-away patterns are unique, in: Multidisciplinary Scheduling - Theory and Applications, ed: G. Kendall et al., Springer-Verlag, 2005, pp. 331-340.
  15. (with M. Klin, S. Reichard, A. Rosa) The smallest non-rank 3 strongly regular graphs which satisfy the 4-vertex condition, Bayreuth. Math. Schr. 74 (2005) 145-205.
  16. (with C.C. Lindner, A. Rosa) On a problem of Lo Faro concerning blocking sets in Steiner systems S(2,4,v), Congr. Numer. 174 (2005) 23-27.
  17. (with Z. Skupień) Decompositions of a complete multidigraph into nonhamiltonian paths, J. Graph Theory 51 (2006) 82-91.
  18. (with R. Nedela, A. Rosa) Circulants and the chromatic index of Steiner triple systems, Math. Slovaca 56 (2006) 371-378.
  19. (with D. Fronček) The Cheesecake Factory problem, Congr. Numer. 182 (2006) 5-10.
  20. (with Z. Skupień) Long paths decompositions of a complete digraph of odd order, Congr. Numer. 183 (2006) 203-211.
  21. (with A. Görlich, R. Kalinowski, M. Pil¶niak, M. WoĽniak) A note on decompositions of transitive tournaments, Discrete Math. 307 (2007) 896-904.
  22. (with A. Görlich, R. Kalinowski, M. Pil¶niak, M. WoĽniak) A note on decompositions of transitive tournaments II, Australas. J. Combin. 37 (2007) 57-66.
  23. (with I.J. Dejter, C.C. Lindner, C.A. Rodger) Almost resolvable 4-cycle systems, J. Combin. Math. Combin. Comput. 63 (2007) 173-181; Corrigendum/Addendum, J. Combin. Math. Combin. Comput. 66 (2008) 297-298.
  24. (with A. Rosa) Cyclic Kirkman triple systems, Congr. Numer. 188 (2007) 129-136.
  25. Solution to the problem of Kubesa, Discuss. Math. Graph Theory 28 (2008) 375-378.
  26. (with R. Nedela, A. Rosa) The chromatic number of 5-valent circulants, Discrete Math. 308 (2008) 6269-6284.
  27. k-cycle free one-factorizations of complete graphs, Electronic J. Combin. 16 (2009) R3, 14pp.
  28. (with C.C. Lindner, C. Pettis) The inside outside intersection problem for hexagon triple systems, Math. Slovaca 59 (2009) 137-154.
  29. (with C.C. Lindner, A. Rosa) Almost resolvable cycle systems-an analogue of Hanani triple systems, J. Combin. Des. 17 (2009) 404-410.
  30. (with A. Rosa, I. Zioło) Steiner almost self-complementary graphs and halving nearly Steiner Triple Systems, Discrete Math. 309 (2009) 5650-5654.
  31. (with A. Rosa) Decomposing complete 3-uniform hypergraph into Hamiltonian cycles, Australas. J. Combin. 45 (2009) 291-302.
  32. (with C.C.Lindner, A. Rosa) On (K_4,K_4-e)-designs, Ars Combin. 93 (2009) 333-340.
  33. (with Z. Skupień) Decompositions of nearly complete digraphs into t parts, Discuss. Math. Graph Theory 29 (2009) 563-572.
  34. (with A. Deza, F. Franek, W. Hua, A. Rosa) Solutions to the Oberwolfach problem for orders 18 to 40, J. Combin. Math. Combin. Comput. 74 (2010) 95-102.
  35. (with D. Fronček) Factorization of complete graphs into long double brooms, Congr. Numer. 206 (2010) 151-155.
  36. (with E.J. Billington, D.G. Hoffman, C.C. Lindner) Almost resolvable minimum coverings of complete graphs with 4-cycles, Australas. J. Combin. 50 (2011) 73-85.
  37. (with E.J. Billington, C.C. Lindner) Twofold 2-perfect bowtie systems with an extra property, Aequationes Math. 82 (2011) 143-153.
  38. (with P. Kovár, M. Kubesa) Factorizations of complete graphs into brooms, Discrete Math. 312 (2012) 1084-1093.
  39. (with E.J. Billington, C.C. Lindner, A. Rosa) Extra 2-perfect twofold 6-cycle systems, Quaderni di Matematica (2012), to appear
  40. (with Z. Skupień) Anti-1-defective path decompositions of a complete multidigraph, Discuss. Math. Graph Theory (2012), to appear
  41. (with C.C. Lindner, A. Rosa) Triple metamorphosis of twofold triple systems, Discrete Math. to appear
  42. (M. Horňák, R. Kalinowski, M. WoĽniak) Edge colorings and the number of palettes, manuscript.
  43. (with C.C. Lindner, A. Rosa) Trinal decompositions of Steiner triple systems into triangles, manuscript.

I participated and gave talks at the following conferences:

  1. Second Kraków Conference on Graph Theory "Zakopane '94", Zakopane-Zgorzelisko (Poland), 19-23.09.1994.
  2. 30th Czech snd Slovak Conference "Grafy '95", Herl'any (Slovakia), 29.05-02.06.1995.
  3. Workshop "Cycles and Colourings '95", Stara Lesná (Slovakia), 10-15.09.1995.
  4. 31st Czech and Slovak Conference "Grafy '96", Velké Karlovice (Czech Republic), 10-14.06.1996.
  5. Workshop "Cycles and Colourings '96", Stara Lesná (Slovakia), 8-13.09.1996.
  6. 5th Twente Workshop, Enschede (Nederlands), 20-22.05.1997.
  7. 32nd Czech and Slovak Conference "Grafy '97", Chudenice (Czech Republic), 26-30.05.1997.
  8. Workshop "Cycles and Colourings '98", Stara Lesná (Slovakia), 6-11.09.1998.
  9. Workshop "Cycles and Colourings '99", Stara Lesná (Slovakia), 5-10.09.1999.
  10. 35th Czech and Slovak Conference "Grafy 2000", Liptovský Trnovec (Slovakia) 15-19.05.2000.
  11. 2001 Workshop on Graphs and Combinatorial Designs, Honolulu (USA), 13-27.07.2001.
  12. 37th Czech and Slovak Conference "Grafy 2002", Rejvíz (Czech Republic), 27-31.05.2002.
  13. 40th Czech and Slovak Conference "Grafy 2005", Budmerice (Slovakia), 30.05-03.06.2005.
  14. 11th Workshop on Graph Theory "Colourings, Independence and Domination", Karpacz (Poland), 18-23.09.2005.
  15. 37th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton (USA), 6-10.03.2006.
  16. 6th Czech-Slovak International Symposium on Combinatorics, Graph Theory, Algorithms and Applications, Prague (Czech Republic), 10-15.07.2006.
  17. PZG Workshop on Combinatorics, Bedlewo (Poland), 15-18.10.2006.
  18. Design Theory of Alex Rosa, Bratislava (Slovakia), 2-6.07.2007.
  19. 21st British Combinatorial Conference, Reading (UK), 8-13.07.2007.
  20. 12th Workshop on Graph Theory "Colourings, Independence and Domination", Karpacz (Poland), 16-21.09.2007.
  21. 1st Istanbul Design Theory and Combinatorics Conference, Istanbul (Turkey), 15-21.06.2008.
  22. 2nd Polish Combinatorial Conference, Bedlewo (Poland), 17-23.10.2008.
  23. 2009 Workshop on Graph Theory, Kaohsiung (Taiwan), 10-14.01.2009.
  24. 40th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton (USA), 2-6.03.2009.
  25. Combinatorics 2010, Verbania (Italy), 27.06-3.07.2010.
  26. 46th Czech-Slovak Conference on Graph Theory, Sachticky (Slovakia), 6-10.06.2011.
  27. Colloquium on Combinatorics, Magdeburg (Germany), 11-12.11.2011.