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 Z. Skupień) Decompositions of a complete multidigraph into almost arbitrary paths, Discuss. Math. Graph Theory 32 (2012) 357-372.
  40. (with S. Cichacz, D. Fronček) Decomposition of complete graphs into small bipartite prisms, Congr. Numer. 211 (2012) 133-140.
  41. (with C.C. Lindner, A. Rosa) Trinal decompositions of Steiner triple systems into triangles, J. Combin. Des. 21 (2013) 204-211.
  42. (with C.C. Lindner, A. Rosa) Palettes in block colourings of designs, Australas. J. Combin. 56 (2013) 235-243.
  43. (with E.J. Billington, C.C. Lindner, A. Rosa) Extra 2-perfect twofold 6-cycle systems, Quaderni di Matematica 28 (2013) 135-150.
  44. (with C.C. Lindner, A. Rosa) Triple metamorphosis of twofold triple systems, Discrete Math. 313 (2013) 1872-1883.
  45. Chromatic index of projective triple systems, J. Combin. Des. 21 (2013) 531-540.
  46. (with S. Cichacz, D. Fronček) Decomposition of complete graphs into small generalized prisms, AKCE Int. J. Graphs Comb. 10 (2013), 285-293.
  47. (with C.C. Lindner, A. Rosa) From squashed 6-cycles to Steiner triple systems, J. Combin. Des. 22 (2014) 189-195.
  48. (with M. Horňák, R. Kalinowski, M. WoĽniak) Edge colorings and the number of palettes, Graphs Combin. 30 (2014) 619-626.
  49. (with C.C. Lindner, G. Lo Faro, A. Tripodi) Squashing maximum packings of K_n with 8-cycles into maximum packings of K_n with 4-cycles, Filomat 28 (2014) 887-896.
  50. (with A. Rosa) Cubic leaves, Australas. J. Combin. 61 (2015) 114-129.
  51. (with E.J. Billington, S. Kuçukçifçi, C.C. Lindner) Squashing minimum coverings of 6-cycles into minimum coverings of triples, Aequationes Math. 89 (2015) 1223-1239.
  52. (with C.C. Lindner, A. Rosa) Almost 2-perfect 6-cycle systems, Des. Codes Cryptogr. 77 (2015) 321-333.
  53. (with C.C. Lindner) Almost 2-perfect minimum coverings of Kn with 6-cycles, Bull. Inst. Combin. Appl. 75 (2015) 64-78.
  54. (with R. Nedela, A. Rosa, M. Škoviera) Decompositions of complete graphs into circulants, Discrete Math. 339 (2016) 2471-2480.
  55. (with A. Rosa, B. Ruini) Kite systems of order 8; embedding of kite systems into bowtie systems, Australas. J. Combin. 67 (2017) 378-393.
  56. (with M. Tyniec) Maximal edge-colorings of graphs, Graphs Combin. 33 (2017) 1451-1458.
  57. (with C.C. Lindner, C.A. Rodger) Revisiting the intersection problem for minimum coverings of K_n with triples, Australas. J. Combin. 68 (2017) 276-284.
  58. (with A. Rosa) A possible analogue of ρ-labellings for 3-uniform hypergraphs, Electronic Notes Discrete Math. 60 (2017) 33-37.
  59. (with C.C. Lindner, A. Rosa) Converting a 6-cycle system to a Steiner triple system, Australas. J. Combin. 71 (2018) 394-402.
  60. Bipancyclicity of balanced bipartite digraphs, Discrete Math. 341 (2018) 3237-3240.
  61. (with A. Rosa) Reaction graphs of double Fano planes, Art of Discrete and Appl. Math. 1 (2018) #P2.04.
  62. (with M. Tyniec) Orthogonal one-factorizations of complete multipartite graphs, Des. Codes Cryptogr. 87 (2019) 987-993.
  63. (with A. Rosa) Cyclic and rotational 6-cycle systems, Bull. Inst. Combin. Appl. 87 (2019) 41-46.
  64. There are 3155 nonisomorphic perfect one-factorizations of K_{16}, J. Combin. Des. 28 (2020) 85-94.
  65. (with A. Rosa), Six-cycle systems, Math. Slovaca 71 (2021) 543-564.
  66. (with A. Rosa), Maximal partial Room squares, J. Combin. Des. 29 (2021) 482-501.

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.
  28. 2012 SIAM Conference on Discrete Mathematics, Halifax (Canada), 18-21.06.2012.
  29. 21st Workshop Cycles and Colourings, Novy Smokovec (Slovakia), 9-14.09.2012.
  30. 7th Czech-Slovak International Symposium on Graph Theory, Combinatorics, Algorithms and Applicaations, Kosice (Slovakia), 7-13.07.2013
  31. 22nd Workshop Cycles and Colourings, Novy Smokovec (Slovakia), 8-13.09.2013.
  32. 45th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Boca Raton (USA), 3-7.03.2014.
  33. Combinatorics 2014, Gaeta (Italy), 1-6.06.2014.
  34. 2014 PhD Summer School in Discrete Mathematics, Rogla (Slovenia), 29.06.-05.07.2014.
  35. The Japanese Conference on Combinatorics and its Applications 2016, Kyoto (Japan), 21-25.05.2016.
  36. Combinatorics 2016, Maratea (Italy), 29.05-4.06.2016.
  37. 3rd Istanbul Design Theory, Graph Theory and Combinatorics Workshop, Istanbul (Turkey), 12-17.06.2016.
  38. Hypergraphs, Graphs and Designs - HyGraDe 2017, Sant' Alessio Siculo (Italy), 20-24.06.2017.
  39. Alex Rosa 80, Mikulov (Czech Republic), 27.06-01.07.2017.
  40. 26th Workshop Cycles and Colourings, Novy Smokovec (Slovakia), 3-8.09.2017.
  41. WGT-Workshop on Graph Theory and Its Applications VII, Kocaeli (Turkey), 10-11.11.2017.
  42. 6th Gdańsk Workshop on Graph Theory, Gdańsk (Poland), 1-4.07.2018.
  43. Conference on Combinatorics and its Applications, Novena (Singapore), 14-16.07.2018.
  44. Istanbul Design Theory Workshop, Istanbul (Turkey), 3-4.09.2018.
  45. Combinatorial Constructions Workshop, Zagreb (Croatia), 27-29.06.2022
  46. 5th Catania Combinatorial Conference HyGraDe 2022, Catania (Italy), 6-8.07.2022.
  47. 34th Midwestern Conference on Combinatorics an d Combinatorial Computing, Normal (USA), 21-23.10.2022.