Research Interests Combinatorial design theory, (infinite) Graph decompositions, Difference Families, Regular Steiner triple systems, Automorphisms of combinatorial structures, Graph factorizations, packings and coverings, Graph labelings, and applications to DNA self-assembly, Heffter arrays and Graph embeddings, Combinatorial matrices Research Impact Papers published/accepted in refereed journals: 33 Papers submitted for publication in refereed journals: 1 Total citations: 238 (Scopus) H-index: 10 (Scopus) Publications Papers Published in Refereed Journals 1. T. Traetta. Some new results on 1-rotational 2-factorizations of the complete graph. Journal of Combinatorial Designs 18(2010), 237-247 2. G. Rinaldi, T. Traetta. Graph products and new solutions to Oberwolfach problems. Electronic Journal of Combinatorics 18(2011), P52 3. S. Bonvicini, M. Buratti, G. Rinaldi, T. Traetta. Some progress on the existence of 1-rotational Steiner Triple Systems. Designs, Codes and Cryptography 62(2012), 63-78 4. M. Buratti, T. Traetta. 2-starters, graceful labelings and a doubling construction for the Oberwolfach problem. Journal of Combinatorial Designs 20(2012), 483-503 5. T. Traetta, On a class of highly symmetric k-factorizations. Electronic Journal of Combinatorics 20(2013), P24 6. T. Traetta. A complete solution to the two-table Oberwolfach problems. Journal of Combinatorial Theory A 120(2013), 984-997 7. M. Buratti, G. Rinaldi, T. Traetta. Some results on 1-rotational Hamiltonian cycle systems. Journal of Combinatorial Designs 22(2014), 231–251 8. M. Buratti, S. Capparelli, F. Merola, G. Rinaldi, T. Traetta. A collection of results on Hamiltonian cycle systems with a nice automorphism group. Electronic Notes in Discrete Mathematics 40(2013), 245–252 9. R.A. Bailey, M. Buratti, G. Rinaldi, T. Traetta. On 2-pyramidal Hamiltonian cycle systems. Bulletin of the Belgian Mathematical Society—Simon Stevin 21(2014), 747-758 10. M. Buratti, T. Traetta. The structure of 2-pyramidal 2-factorizations. Graphs and Combinatorics 31(2015), 523-53 11. M. Buratti, G.J. Lovegrove, T. Traetta. On the full automorphism group of a Hamiltonian cycle system of odd order. Graphs and Combinatorics 31(2015), 1855-1865 12. F. Merola, T. Traetta. Infinitely many cyclic solutions to the Hamilton–Waterloo problem with odd length cycles. Discrete Mathematics 339(2016), 2267-2283 13. P. Danziger, E. Mendelsohn, T. Traetta. On the existence of unparalleled even cycle systems. European Journal of Combinatorics 59(2017), 11-22 14. M. Buratti, G. Rinaldi, T. Traetta. 3-pyramidal Steiner triple systems. Ars Mathematica Contemporanea 13(2017), 95-106 15. M. Buratti, H. Cao, D. Dai, T. Traetta. A complete solution to the existence of (k,\lambda)-cycle frames of type g^u. Journal of Combinatorial Designs 25(2017), 197–230 16. A.C. Burgess, P. Danziger, T. Traetta. On the Hamilton-Waterloo Problem with odd orders. Journal of Combinatorial Designs 25 (2017), 258–287 17. A.C. Burgess, P. Danziger, T. Traetta. On the Hamilton-Waterloo problem with odd cycle lengths. Journal of Combinatorial Designs 26 (2018), 51–83 18. A.C. Burgess, P. Danziger, T. Traetta. On the Hamilton-Waterloo Problem with cycle lengths of distinct parities. Discrete Mathematics 341 (2018), 1636-1644 19. A.C. Burgess, P. Danziger, T. Traetta. The Hamilton-Waterloo Problem with even cycle lengths. Discrete Mathematics, 342 (2019), 2213–2222 20. A.C. Burgess, P. Danziger, T. Traetta. On the generalized Oberwolfach Problem. Ars Mathematica Contemporanea 17(2019), 67–78 21. A.C. Burgess, F. Merola, T. Traetta. Cyclic cycle systems of the complete multipartite graph. Journal of Combinatorial Designs, 28(2020), 224–260 22. M. Buratti, A. Pasotti, T. Traetta. A reduction of the spectrum problem for odd sun systems and the prime case. Journal of Combinatorial Designs 29(2021), 5–37 23. F. Salassa, G. Dragotto, T. Traetta, M. Buratti, F. Della Croce. Merging combinatorial design and optimization: The Oberwolfach problem. Australasian Journal of Combinatorics 79 (2021), 141–166 24. S. Bonvicini, M. Buratti, M. Garonzi, G. Rinaldi, T. Traetta. The first families of highly symmetric Kirkman Triple Systems whose orders fill a congruence class. Designs, Codes and Cryptography 89 (2021), 2725–2757 25. S. Costa, T. Traetta. Vertex-regular 1-factorizations in infinite graphs. Journal of Combinatorial Designs 30 (2022), 354-363 26. A.C. Burgess, P. Danziger, T. Traetta. On the Oberwolfach problem for single-flip 2-factors via graceful labelings. Journal of Combinatorial Theory A 189 (2022), 105–611 27. S. Costa, T. Traetta. Factorizing the Rado graph and infinite complete graphs, Ars Math. Contemp. (2023), doi:10.26493/1855-3974.2616.4a9 28. M. M. Ferrari, A. Pasotti, T. Traetta. On non-isomorphic biminimal pots realizing the cube, Bulletin of the ICA 98 (2023), 122-139 29. A. Burgess, P. Danziger, A. Pastine, T. Traetta. Constructing uniform 2-factorizations via row-sum matrices: solutions to the Hamilton-Waterloo problem, Journal of Combinatorial Theory A 201 (2024), 105803 30. L. Mella, T. Traetta. Constructing generalized Heffter arrays via near alternating sign matrices, accepted for publication in Journal of Combinatorial Theory A 205 (2024), 105873 31. P. Danziger, E. Mendelsohn, B. Stevens, T. Traetta, On the mini-symposium problem, accepted for publication in Ars Math. Contemp. (2023), doi:10.26493/1855-3974.2835.8f0 32. A. Burgess, P. Danziger, T. Traetta. A survey on constructive resolution methods for the Oberwolfach problem and its variants, Conference proceedings: New Advances in Designs, Codes and Cryptography Stinson66, (Toronto, Canada, June 13-17, 2022), Fields Institute Communications 33. T. Traetta. A constructive solution to the Oberwolfach problem with a large cycle, accepted for publication in Discrete Mathematics Papers Submitted for Publication in Refereed Journals 34. M. Abreu, J. B. Gauci, D. Mattiolo, G. Mazzuoccolo, F. Romaniello, C. Rubio-Montiel, T. Traetta. A sharp upper bound for the harmonious total chromatic number of graphs and multigraphs