Buratti, Marco; Nakić, Anamari Super-regular Steiner 2-designs. (English) Zbl 1506.05031 Finite Fields Appl. 85, Article ID 102116, 29 p. (2023). Reviewer: Zihong Tian (Shijiazhuang) MSC: 05B05 05B10 05B25 05B30 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{A. Nakić}, Finite Fields Appl. 85, Article ID 102116, 29 p. (2023; Zbl 1506.05031) Full Text: DOI arXiv
Buratti, Marco; Nakić, Anamari; Wassermann, Alfred Graph decompositions in projective geometries. (English) Zbl 07798486 J. Comb. Des. 29, No. 3, 141-174 (2021). MSC: 05B05 05B10 05B25 05B30 PDFBibTeX XMLCite \textit{M. Buratti} et al., J. Comb. Des. 29, No. 3, 141--174 (2021; Zbl 07798486) Full Text: DOI arXiv
Bonvicini, Simona; Buratti, Marco; Garonzi, Martino; Rinaldi, Gloria; Traetta, Tommaso The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class. (English) Zbl 1478.05012 Des. Codes Cryptography 89, No. 12, 2725-2757 (2021). MSC: 05B07 05B05 20B25 PDFBibTeX XMLCite \textit{S. Bonvicini} et al., Des. Codes Cryptography 89, No. 12, 2725--2757 (2021; Zbl 1478.05012) Full Text: DOI arXiv Link
Buratti, Marco; Stinson, Douglas Robert New results on modular Golomb rulers, optical orthogonal codes and related structures. (English) Zbl 1469.05021 Ars Math. Contemp. 20, No. 1, 1-27 (2021). MSC: 05B10 94B25 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{D. R. Stinson}, Ars Math. Contemp. 20, No. 1, 1--27 (2021; Zbl 1469.05021) Full Text: DOI arXiv
Salassa, Fabio; Dragotto, Gabriele; Traetta, Tommaso; Buratti, Marco; Della Croce, Federico Merging combinatorial design and optimization: the Oberwolfach problem. (English) Zbl 1465.05147 Australas. J. Comb. 79, Part 1, 141-166 (2021). MSC: 05C70 05C85 PDFBibTeX XMLCite \textit{F. Salassa} et al., Australas. J. Comb. 79, Part 1, 141--166 (2021; Zbl 1465.05147) Full Text: arXiv Link
Buratti, Marco; Jungnickel, Dieter Partitioned difference families versus zero-difference balanced functions. (English) Zbl 1422.05025 Des. Codes Cryptography 87, No. 11, 2461-2467 (2019). MSC: 05B10 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{D. Jungnickel}, Des. Codes Cryptography 87, No. 11, 2461--2467 (2019; Zbl 1422.05025) Full Text: DOI
Buratti, Marco; Merola, Francesca Fano kaleidoscopes and their generalizations. (English) Zbl 1407.05029 Des. Codes Cryptography 87, No. 4, 769-784 (2019). MSC: 05B05 05B10 05C15 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{F. Merola}, Des. Codes Cryptography 87, No. 4, 769--784 (2019; Zbl 1407.05029) Full Text: DOI arXiv
Buratti, Marco On silver and golden optical orthogonal codes. (English) Zbl 1422.94049 Art Discrete Appl. Math. 1, No. 2, Paper No. P2.02, 11 p. (2018). MSC: 94B25 05B10 11B39 PDFBibTeX XMLCite \textit{M. Buratti}, Art Discrete Appl. Math. 1, No. 2, Paper No. P2.02, 11 p. (2018; Zbl 1422.94049) Full Text: DOI
Bonvicini, Simona; Buratti, Marco Octahedral, dicyclic and special linear solutions of some Hamilton-Waterloo problems. (English) Zbl 1391.05201 Ars Math. Contemp. 14, No. 1, 1-14 (2018). MSC: 05C70 05E18 05B10 PDFBibTeX XMLCite \textit{S. Bonvicini} and \textit{M. Buratti}, Ars Math. Contemp. 14, No. 1, 1--14 (2018; Zbl 1391.05201) Full Text: DOI
Buratti, Marco; Costa, Simone; Wang, Xiaomiao New \(i\)-perfect cycle decompositions via vertex colorings of graphs. (English) Zbl 1354.05070 J. Comb. Des. 24, No. 11, 495-513 (2016). MSC: 05C38 05C70 05C15 PDFBibTeX XMLCite \textit{M. Buratti} et al., J. Comb. Des. 24, No. 11, 495--513 (2016; Zbl 1354.05070) Full Text: DOI
Buratti, Marco; Danziger, Peter A cyclic solution for an infinite class of Hamilton-Waterloo problems. (English) Zbl 1339.05301 Graphs Comb. 32, No. 2, 521-531 (2016). MSC: 05C70 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{P. Danziger}, Graphs Comb. 32, No. 2, 521--531 (2016; Zbl 1339.05301) Full Text: DOI
Buratti, Marco; Lovegrove, Graham J.; Traetta, Tommaso On the full automorphism group of a Hamiltonian cycle system of odd order. (English) Zbl 1327.05194 Graphs Comb. 31, No. 6, 1855-1865 (2015). MSC: 05C45 05C60 05C25 PDFBibTeX XMLCite \textit{M. Buratti} et al., Graphs Comb. 31, No. 6, 1855--1865 (2015; Zbl 1327.05194) Full Text: DOI arXiv
Buratti, Marco; Traetta, Tommaso The structure of 2-pyramidal 2-factorizations. (English) Zbl 1312.05112 Graphs Comb. 31, No. 3, 523-535 (2015). MSC: 05C70 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{T. Traetta}, Graphs Comb. 31, No. 3, 523--535 (2015; Zbl 1312.05112) Full Text: DOI
Buratti, Marco; Rinaldi, Gloria; Traetta, Tommaso Some results on 1-rotational Hamiltonian cycle systems. (English) Zbl 1317.05100 J. Comb. Des. 22, No. 6, 231-251 (2014). Reviewer: Herbert Fleischner (Wien) MSC: 05C38 05C45 PDFBibTeX XMLCite \textit{M. Buratti} et al., J. Comb. Des. 22, No. 6, 231--251 (2014; Zbl 1317.05100) Full Text: DOI
Buratti, Marco; Pasotti, Anita; Wu, Dianhua On optimal \((v,5,2,1)\) optical orthogonal codes. (English) Zbl 1301.94149 Des. Codes Cryptography 68, No. 1-3, 349-371 (2013). MSC: 94B25 05B30 PDFBibTeX XMLCite \textit{M. Buratti} et al., Des. Codes Cryptography 68, No. 1--3, 349--371 (2013; Zbl 1301.94149) Full Text: DOI
Buratti, Marco; Traetta, Tommaso 2-starters, graceful labelings, and a doubling construction for the Oberwolfach problem. (English) Zbl 1258.05099 J. Comb. Des. 20, No. 11-12, 483-503 (2012). MSC: 05C70 05C78 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{T. Traetta}, J. Comb. Des. 20, No. 11--12, 483--503 (2012; Zbl 1258.05099) Full Text: DOI
Bonvicini, Simona; Buratti, Marco; Rinaldi, Gloria; Traetta, Tommaso Some progress on the existence of 1-rotational Steiner triple systems. (English) Zbl 1234.05044 Des. Codes Cryptography 62, No. 1, 63-78 (2012). Reviewer: Charles J. Colbourn (Tempe) MSC: 05B07 05B05 51E10 PDFBibTeX XMLCite \textit{S. Bonvicini} et al., Des. Codes Cryptography 62, No. 1, 63--78 (2012; Zbl 1234.05044) Full Text: DOI
Buratti, Marco; Momihara, Koji; Pasotti, Anita New results on optimal \((v,4,2,1)\) optical orthogonal codes. (English) Zbl 1230.05079 Des. Codes Cryptography 58, No. 1, 89-109 (2011). Reviewer: R. Wei (Thunder Bay) MSC: 05B30 94B25 PDFBibTeX XMLCite \textit{M. Buratti} et al., Des. Codes Cryptography 58, No. 1, 89--109 (2011; Zbl 1230.05079) Full Text: DOI
Buratti, Marco; Pasotti, Anita Further progress on difference families with block size 4 or 5. (English) Zbl 1198.94186 Des. Codes Cryptography 56, No. 1, 1-20 (2010). Reviewer: Wen-Fong Ke (Tainan) MSC: 94B25 05B10 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{A. Pasotti}, Des. Codes Cryptography 56, No. 1, 1--20 (2010; Zbl 1198.94186) Full Text: DOI
Buratti, Marco; Capparelli, Stefano; Del Fra, Alberto Cyclic Hamiltonian cycle systems of the \(\lambda \)-fold complete and cocktail party graphs. (English) Zbl 1222.05141 Eur. J. Comb. 31, No. 5, 1484-1496 (2010). MSC: 05C45 05C38 PDFBibTeX XMLCite \textit{M. Buratti} et al., Eur. J. Comb. 31, No. 5, 1484--1496 (2010; Zbl 1222.05141) Full Text: DOI
Buratti, Marco; Ghinelli, Dina On disjoint \((3t,3,1)\) cyclic difference families. (English) Zbl 1186.62099 J. Stat. Plann. Inference 140, No. 7, 1918-1922 (2010). MSC: 62K99 05B07 62K10 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{D. Ghinelli}, J. Stat. Plann. Inference 140, No. 7, 1918--1922 (2010; Zbl 1186.62099) Full Text: DOI
Buratti, Marco; Pasotti, Anita Combinatorial designs and the theorem of Weil on multiplicative character sums. (English) Zbl 1211.05022 Finite Fields Appl. 15, No. 3, 332-344 (2009). Reviewer: R. Wei (Thunder Bay) MSC: 05B30 05C70 05C25 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{A. Pasotti}, Finite Fields Appl. 15, No. 3, 332--344 (2009; Zbl 1211.05022) Full Text: DOI
Buratti, Marco; Pasotti, Anita On perfect \(\Gamma\)-decompositions of the complete graph. (English) Zbl 1214.05113 J. Comb. Des. 17, No. 2, 197-209 (2009). MSC: 05C70 05C35 05C25 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{A. Pasotti}, J. Comb. Des. 17, No. 2, 197--209 (2009; Zbl 1214.05113) Full Text: DOI
Buratti, Marco; Gionfriddo, Lucia Strong difference families over arbitrary graphs. (English) Zbl 1182.05016 J. Comb. Des. 16, No. 6, 443-461 (2008). MSC: 05B10 05C78 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{L. Gionfriddo}, J. Comb. Des. 16, No. 6, 443--461 (2008; Zbl 1182.05016) Full Text: DOI
Buratti, Marco; Rinaldi, Gloria On sharply vertex transitive 2-factorizations of the complete graph. (English) Zbl 1070.05066 J. Comb. Theory, Ser. A 111, No. 2, 245-256 (2005). MSC: 05C70 05C25 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{G. Rinaldi}, J. Comb. Theory, Ser. A 111, No. 2, 245--256 (2005; Zbl 1070.05066) Full Text: DOI
Buratti, Marco Constructions for point-regular linear spaces. (English) Zbl 0980.05009 J. Stat. Plann. Inference 94, No. 2, 139-146 (2001). Reviewer: Sanpei Kageyama (Hiroshima) MSC: 05B05 PDFBibTeX XMLCite \textit{M. Buratti}, J. Stat. Plann. Inference 94, No. 2, 139--146 (2001; Zbl 0980.05009) Full Text: DOI
Buratti, Marco Two new classes of difference families. (English) Zbl 0947.05013 J. Comb. Theory, Ser. A 90, No. 2, 353-355 (2000). Reviewer: G.Ferrero (Parma) MSC: 05B10 PDFBibTeX XMLCite \textit{M. Buratti}, J. Comb. Theory, Ser. A 90, No. 2, 353--355 (2000; Zbl 0947.05013) Full Text: DOI
Buratti, Marco Existence of \(Z\)-cyclic triplewhist tournaments for a prime number of players. (English) Zbl 0960.05016 J. Comb. Theory, Ser. A 90, No. 2, 315-325 (2000). Reviewer: K.Sinha (Ranchi) MSC: 05B05 05B30 PDFBibTeX XMLCite \textit{M. Buratti}, J. Comb. Theory, Ser. A 90, No. 2, 315--325 (2000; Zbl 0960.05016) Full Text: DOI
Buratti, Marco; Zuanni, Fulvio The 1-rotational Kirkman triple systems of order 33. (English) Zbl 0963.62072 J. Stat. Plann. Inference 86, No. 2, 369-377 (2000). MSC: 62K10 05B05 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{F. Zuanni}, J. Stat. Plann. Inference 86, No. 2, 369--377 (2000; Zbl 0963.62072) Full Text: DOI
Buratti, Marco; Zuanni, Fulvio On singular 1-rotational Steiner 2-designs. (English) Zbl 0931.05013 J. Comb. Theory, Ser. A 86, No. 2, 232-244 (1999). Reviewer: K.Sinha (Ranchi) MSC: 05B05 PDFBibTeX XMLCite \textit{M. Buratti} and \textit{F. Zuanni}, J. Comb. Theory, Ser. A 86, No. 2, 232--244 (1999; Zbl 0931.05013) Full Text: DOI
Buratti, Marco Cyclotomic conditions leading to new Steiner 2-designs. (English) Zbl 0906.05007 Finite Fields Appl. 3, No. 4, 300-313 (1997). Reviewer: R.N.Mohan (Nuzvid) MSC: 05B05 11T22 PDFBibTeX XMLCite \textit{M. Buratti}, Finite Fields Appl. 3, No. 4, 300--313 (1997; Zbl 0906.05007) Full Text: DOI
Berardi, Luigia; Buratti, Marco; Innamorati, Stefano 4-blocked Hadamard 3-designs. (English) Zbl 0889.05016 Discrete Math. 174, No. 1-3, 35-46 (1997). Reviewer: D.V.Chopra (Wichita) MSC: 05B05 PDFBibTeX XMLCite \textit{L. Berardi} et al., Discrete Math. 174, No. 1--3, 35--46 (1997; Zbl 0889.05016) Full Text: DOI
Buratti, Marco Constructions of \((q,k,1)\) difference families with \(q\) a prime power and \(k=4,5\). (English) Zbl 0818.05011 Discrete Math. 138, No. 1-3, 169-175 (1995). Reviewer: D.Jungnickel (Augsburg) MSC: 05B05 11T99 PDFBibTeX XMLCite \textit{M. Buratti}, Discrete Math. 138, No. 1--3, 169--175 (1995; Zbl 0818.05011) Full Text: DOI
Buratti, Marco A powerful method for constructing difference families and optimal optical orthogonal codes. (English) Zbl 0814.05012 Des. Codes Cryptography 5, No. 1, 13-25 (1995). Reviewer: D.Jungnickel (Augsburg) MSC: 05B05 94B60 05B10 PDFBibTeX XMLCite \textit{M. Buratti}, Des. Codes Cryptography 5, No. 1, 13--25 (1995; Zbl 0814.05012) Full Text: DOI