Publications

Selected publications since 2015

2021

  • A. Aguglia, L. Giuzzi, A. Sonnino, Near-MDS codes from elliptic curves, Des. Codes. Cryptogr. 89 (2021), 965-972 doi:10.1007/s10623-021-00852-0 (arXiv:2009.05623)

  • A. Aguglia, L. Giuzzi, M. Homma, On Hermitian varieties in PG(6,q2), Ars Mathematica Contemporanea (2021) doi:10.26493/1855-3974.2358.3c9 (arXiv:2006.04099)

  • 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

  • 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

  • I. Cardinali, L. Giuzzi, A. Pasini, The generating rank of a polar Grassmannian, Adv. Geom. to appear (2021) doi:10.1515/advgeom-2021-0022 (arXiv:1906.10560)

  • I. Cardinali, L. Giuzzi, M. Kwiatkowski, On the Grassmann Graph of Linear Codes, Finite Fields Appl. 75 (2021) 101895 doi:10.1016/j.ffa.2021.101895 (arXiv:2005.04402)

  • I. Cardinali, L. Giuzzi, A. Pasini, Nearly all subspaces of a classical polar space arise from its universal embedding, Linear Algebra Appl. 627 (2021), 287-307doi:10.1016/j.laa.2021.06.013 (arXiv:2010.07640)

  • S. Costa, M. Dalai, A gap in the slice rank of k-tensors, Journal of Combinatorial Theory, series A 177 (2021), 10533

  • S. Costa, M. Dalai, New bounds for perfect k-hashing, Discrete Applied Mathematics 289 (2021), 374-382

  • S. Costa and A. Pasotti, On λ-fold relative Heffter arrays and biembedding multigraphs on surfaces, Europ. J. Combin. 97 (2021), 103370

  • S. Della Fiore, S. Costa, M. Dalai, New upper bounds for (b,k)-hashing, IEEE International Symposium on Information Theory (ISIT) (2021) 256-261.

  • L. Mella and A. Pasotti, Some counterexamples to a conjecture on difference graphs, Examples and Counterexamples 1 (2021), 100002

  • M.A. Ollis, A. Pasotti, M.A. Pellegrini and J.R Schmitt, New methods to attack the Buratti-Horak-Rosa conjecture, Discr. Math. 334 (2021), 112486

  • 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

2020

  • A. Burgess, F. Merola, T. Traetta, Cyclic cycle systems of the complete multipartite graph, Journal of Combinatorial Designs 28 (2020), 224-260.

  • I. Cardinali, L. Giuzzi, A. Pasini, Grassmann embeddings of polar Grassmannians, J. Combin. Theory Series A 170 (2020) 105133 doi:10.1016/j.jcta.2019.105133 (arXiv:1810.12811)

  • Chang, S. Costa, T. Feng, X. Wang, Strong difference families of special types, Discrete Mathematics 343 (2020), 111-776.

  • Y. Chang, S. Costa, T. Feng, X. Wang, Partitionable sets, almost partitionable sets and their applications, Journal of Combinatorial Designs 28 (2020), 783-813

  • S. Costa, A complete solution to the infinite Oberwolfach problem, Journal of Combinatorial Designs 28 (2020) 366-383.

  • S. Costa, A. Pasotti and M.A. Pellegrini, Relative Heffter arrays and biembeddings, online on Ars Math. Contemp., preprint https://arxiv.org/abs/1909.03064.

  • S. Costa, M. Dalai and A. Pasotti, A tour problem on a toroidal board, Australasian J. Combin. 76 (2020), 183–207.

  • S. Costa, F. Morini, A. Pasotti and M.A. Pellegrini, A generalization of Heffter arrays, J. Combin. Des. 28 (2020), 171–206.

  • A. Zazio, A. Pasotti, M.A. Pellegrini, C. Miniussi and M. Bortoletto, Inter-area communication within the motor network: Prestimulus functional connectivity predicts TMS-evoked response, Clinical Neurophysiology 131 (2020), e72–e73 (Extended Abstract).

  • S. Costa, M.A. Pellegrini, Some new results about a conjecture by Brian Alspach, Archiv der Mathematik 115 (5) (2020), 479-488

2019

2018

  • A. Burgess, P. Danziger, T. Traetta. On the Hamilton-Waterloo problem with odd cycle lengths. J. Combin. Des. 26 (2018), 51–83.

  • A. Burgess, P. Danziger, T. Traetta. On the Hamilton-Waterloo Problem with cycle lengths of distinct parities. Discrete Math. 341 (2018), 1636-1644.

  • I. Cardinali, L. Giuzzi. Line Hermitian Grassmann Codes and their Parameters. Finite Fields Appl. 51 (2018), 407-432. doi:10.1016/j.ffa.2018.02.006 (arXiv:1706.10255)

  • I. Cardinali, L. Giuzzi. Minimum distance of Line Orthogonal Grassmann Codes in even characteristic. J. Pure Applied Algebra 222:10 (2018), 2975-2988. doi:10.1016/j.jpaa.2017.11.009 (arXiv:1605.09333)

  • I. Cardinali, L. Giuzzi, A. Pasini. On transparent embeddings of point-line geometries. J. Combin. Theory Series A 155 (2018). 190-224,doi:10.1016/j.jcta.2017.11.001 (arXiv:1611.07877)

  • S. Costa, T. Feng, X. Wang. Frame difference families and resolvable balance incomplete block designs. Des. Codes Cryptogr. 86 (12) (2018), 2725-2745

  • S. Costa, T. Feng, X. Wang. New 2-designs from strong difference families. Finite Fields Appl. 50 (2018), 391-405

  • S. Costa, F. Morini, A. Pasotti, M. A. Pellegrini. A problem on partial sums in abelian groups. Discrete Math. 341 (2018), 705-712

  • S. Costa, F. Morini, A. Pasotti, M. A. Pellegrini. Globally simple Heffter arrays and orthogonal cyclic cycle decompositions Australas. J. Combin. 72 (3) (2018), 549-593

  • A. Pasotti, M.A. Pellegrini. Cyclic uniform 2-factorizations of the complete multipartite graph. Graphs Combin. 34 (2018), 901-930

  • S. Pasotti, S. Pianta, E. Zizioli. Finite loops arising from projective 3-space. Beitr Algebra Geom 59 (2018), 155–16

2017

2016

2015

  • A. Benini and A. Pasotti, \alpha-labelings of generalized Petersen graphs, Discuss. Math. Graph Theory 35 (2015), 143-53

  • 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

  • M. Buratti, T. Traetta, The structure of 2-pyramidal 2-factorizations, Graphs and Combinatorics 31 (2015), 523-535

  • L. Giuzzi, V. Pepe, On some subvarieties of the Grassmann variety, Linear Multilinear Algebra 63 (11): 2121-2134 (2015), ISSN 0308-1087, doi:10.1080/03081087.2014.983449 (arXiv:1405.6926)

  • S. Pasotti, S. Pianta, E. Zizioli. A Geometric Environment for Building up Loops. Res. Math. 68 (2015) n. 3-4, 415–426

  • S. Pasotti, E. Zizioli. Loops, regular permutation sets and colourings of directed graphs. J. Geom. 106 (2015), 35–45

Preprints

  • A. Aguglia, L. Giuzzi, On the equivalence of certain quasi-Hermitian varieties, (arXiv:2108.04813)

  • A. Aguglia, M. Ceria, L. Giuzzi, Some hypersurfaces over finite fields, minimal codes and secret sharing schemes (arXiv:2105.14508)

  • A. C. Burgess, P. Danziger, T. Traetta, On the Oberwolfach problem for single-flip 2-factors via graceful labelings (arXiv:2010.07231)

  • I. Cardinali, L. Giuzzi, A. Pasini, Generation of J-Grassmannians of buildings of type A_n and D_n with J a non-connected set of types (arXiv:1912.03484)

  • S. Costa, T. Traetta, Vertex-regular 1-factorizations in infinite graphs (arXiv:2106.09468)

  • S. Costa, T. Traetta, Factorizing the Rado graph and infinite complete graphs (arXiv:2103.11992)

  • S. Costa, S. Della Fiore, M. Dalai, Variation on the Erdos distinct-sums problem, submitted (arXiv: 2107.07885)

  • S. Della Fiore, S. Costa, M. Dalai, Improved Bounds for (b,k)-hashing, submitted (arXiv: 2012.00620)

  • P. Danziger, E. Mendelsohn, B. Stevens, T. Traetta, On the mini-symposium problem

  • L. Giuzzi, G. Lunardon, A remark on F_{q_n}-Linear MRD codes (arXiv:2106.15708)

  • M.A. Ollis, A. Pasotti, M.A. Pellegrini and J.R. Schmitt, Growable Realizations: a Powerful Approach to the Buratti-Horak-Rosa Conjecture (arXiv:2105.00980)