Giampiero Chiaselotti

Associate professor

Dipartimento di Matematica
Università della Calabria
87036 Arcavacata di Rende
Italy

E-mail: chiaselotti@unical.it

Tel.: ++39-0984-496465
Fax: ++39-0984-496410




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PUBLICATIONS

  1. "Sums of distinct elements in finite abelian groups" G.Chiaselotti.
    Boll. Unione Mat. Ital. (7), 7-a (1993), 243-251.
  2. "Nonlinear contration mappings in o-E-metric spaces" G.Chiaselotti, De Pascale, G. Marino.
    Rend. Circolo Mat. Palermo II. Ser., 33, 1994, 249-257.
  3. "An intersection problem in a finite set" G.Chiaselotti.
    Le Matematiche 50, 1995, 205-213.
  4. "Some presentations for the Special Linear Groups on Finite Fields" G.Chiaselotti.
    Annali di Matematica Pura ed Applicata 180, 359-372 (2001).
  5. "On a problem concerning the weight functions" G.Chiaselotti.
    European Journal of Combinatorics, Vol.23, No.1, Jan 2002, pp.15-22.
  6. "On additive bases with two elements" G.Chiaselotti.
    Acta Arithmetica 101.2, 115-119 (2002).
  7. "A method to count the positive 3-subsets in a set of real numbers with non negative sum" G.Chiaselotti, G.Marino.
    European Journal of Combinatorics, Vol.23, No.5, 2002, pp.619-629.
  8. "New results related to a conjecture of Manickam and Singhi" G.Chiaselotti, G.Infante, G.Marino.
    European Journal of Combinatorics, Vol.29, No2, 2008, pp.361-36
  9. "Minimizing the makespan in non-preemptive parallel machine scheduling problem", G.Chiaselotti, M.I.Gualtieri, P.Pietramala, J. Math. Model. Algor. (2010), (9), pp.39-51
  10. "A minimum problem for finite sets of real numbers with non-negative sum", G. Chiaselotti, G. Marino, C. Nardi, Journal of Applied Mathematics, Vol.2012, Article ID 847958, 15 pages.
  11. "Sand piles models of signed partitions with $d$ piles", C. Bisi, G. Chiaselotti, P.A. Oliverio, ISRN Combinatorics, Vol.2013
  12. "Parallel rank of two sandpile models of signed integer partitions", G. Chiaselotti, T. Gentile, G. Marino, P.A. Oliverio, Journal of applied mathematics, Vol.2013, article ID 292143, 12 pages
  13. "A discrete dynamical model of signed partitions", G. Chiaselotti, G. Marino, P.A. Oliverio, D. Petrassi, Journal of applied mathematics, Vol.2013, article ID 973501, 10 pages
  14. "A class of lattices and boolean functions related to a Manickam-Miklós-Singhi Conjecture.", C. Bisi, G. Chiaselotti, Advances in geometry, vol 13, p. 1-27, 2013
  15. "Two self-dual lattices of signed integer partitions", G. Chiaselotti, W. Keith, P.A. Oliverio, Applied mathematics & informations sciences, Vol.6, p.1-9, 2014
  16. "Parallel and sequential dynamics of two discrete models of signed integer positions", G. Chiaselotti, T. Gentile, P.A. Oliverio, Applied mathematics and computation, vol. 232, p.1249-1261, 2014
  17. "Lattices of partial sums", G. Chiaselotti, T. Gentile, P.A. Oliverio, Algebra and discrete mathematics, vol.18, p 171-185, 2014
  18. "Non uniform cellular automata description of signed partition versions of ice and sand pile models", G. Cattaneo, G. Chiaselotti, A. Dennunzio, E. Formenti, L. Manzoni, Cellular Automata, Lecture notes in Computer Sciences, vol. 8751, p. 115-124, 2014
  19. "A natural extension of the Young partition lattice", C. Bisi, G. Chiaselotti, G. Marino, P.A. Oliverio, Advances in Geometry, Issue 15, no.3, (2015), 263-280
  20. "Simple Undirected Graphs as Formal Contexts", G. Chiaselotti, D. Ciucci, T. Gentile, Lecture Notes in Computer Science, vol. 9113, To Appear, Springer 2015
  21. "Rough Set Theory Applied to Simple Undirected Graphs", G. Chiaselotti, D. Ciucci, T. Gentile, F. Infusino,RSKT 2015, Lecture Notes in Computer Science, Vol. 9436, pp. 423--434, Springer 2015
  22. "Preclusivity and Simple Graphs", G. Chiaselotti, D. Ciucci, T. Gentile, F. Infusino, RSFDGrC 2015, Lecture Notes in Computer Science, Vol. 9437, 127--137, Springer 2015
  23. "Preclusivity and Simple Graphs: the $n$--cycle and $n$--path Cases", G. Chiaselotti, D. Ciucci, T. Gentile, F. Infusino, Proc. RSFDGrC 2015, Lecture Notes in Computer Science, Vol. 9437, 138--148,Springer 2015
  24. "The lattice structure of equally extended signed partitions. A generalization of the Brylawski approach to integer partitions with two possible models: ice piles and semiconductors", G. Cattaneo, G. Chiaselotti, T. Gentile and P. A. Oliverio, Fundamenta Informaticae, vol.141, no.1, pp.1--36, 2015
  25. "On the connection of Hypergraph Theory with Formal Concept Analysis and Rough Set Theory", G. Cattaneo, G. Chiaselotti, D. Ciucci, T. Gentile, Information Sciences, vol. 330, pp. 342--357, 2016
  26. "A New Discrete Dynamical Sistem of Signed Integer Partitions", G. Cattaneo, G. Chiaselotti, P.A. Oliverio, F. Stumbo, European Journal of Combinatorics, vol. 55, pp. 119--143, 2016
  27. "Simple Graphs in Granular Computing", G. Chiaselotti, D. Ciucci, T. Gentile, Information Sciences, vols. 340--341, pp 279--304, 2016
  28. "The Granular Partition Lattice of an Information Table", G. Chiaselotti, D. Ciucci, T. Gentile, F. Infusino, Information Sciences, vol. 373, pp 57--78, 2016
  29. "Generalization of Rough Set Tools inspired by Graph Theory", G. Chiaselotti, D. Ciucci, T. Gentile, F. Infusino, Fundamenta Informaticae, vol. 148, pp 207--227, 2016
  30. "Rough Sets for $n$-Cycles and $n$-Paths", G. Chiaselotti, T. Gentile, F. Infusino, P.A. Oliverio, Applied Mathematics and Information Sciences, vol. 10, No. 1, pp 117--124, 2016
  31. "The Adjacency Matrix of a Graph as a Data Table. A Geometric Perspective", G. Chiaselotti, T. Gentile, F. Infusino, P.A. Oliverio, Annali di Matematica Pura ed Applicata, vol. 196 n° 3, pp 1073--1112, 2017
  32. "Intersection properties of maximal directed cuts in digraphs. G.Chiaselotti, T. Gentile, Discrete Mathematics, vol. 340, pp. 3171--3175, 2017
  33. "Rough Set Theory and Digraphs", G. Chiaselotti, D. Ciucci, T. Gentile, F. Infusino, Fundamenta Informaticae, 153(4): 291-325, DOI10.3233/FI-2017-1542, 2017
  34. "Dominance Order on Signed Integer Partitions", C. Bisi, G. Chiaselotti, T. Gentile, P.A. Oliverio, Advances in Geometry, 17(1); pp.5--29, 2017
  35. "Micro and Macro Models of Granular Computing Induced by the Indiscernibility Relations", C. Bisi, G. Chiaselotti, D. Ciucci, T. Gentile, F. Infusino, Information Sciences, vol. 388--389, pp. 247--273, 2017
  36. "Knowledge Pairing Sistems in Granular Computing", G. Chiaselotti, T. Gentile, F. Infusino, Knowledge-Based Sistems, vol.124, pp.144--163, 2017
  37. "Dependency Structures for Decision Tables", G. Chiaselotti, T. Gentile, F. Infusino, International Journal of Approximate Reasoning, vol.88, pp.333--370, 2017
  38. "Simplicial Complexes and Closure Systems Induced by Indistinguishability Relations", G. Chiaselotti, T. Gentile, F. Infusino, C. R. Acad. Sci. Paris, Ser. I, vol.355, pp.991--1021, 2017
  39. "Dependency and Accuracy Measures for Directed Graphs", G. Chiaselotti, T. Gentile, F. Infusino, P.A. Oliverio, Applied Mathematics and Computation, vol.320, pp.781--794, 2018
  40. "Pairings and Related Simmetry Notions", G. Chiaselotti, T. Gentile, F. Infusino, Annali dell'Università di Ferrara, Vol.64, Issue 2, November 2018, 285--322
  41. "Decision Sistems in Rough Set Theory. A Set Operatorial Perspective", G. Chiaselotti, T. Gentile, F. Infusino, Journal of Algebra and its Applications, Vol.18 No. 01, 1950004 (2019)
  42. " Granular Computing on Information Tables: Families of Subsets and Operators ", G. Chiaselotti, T. Gentile, F. Infusino, Information Science, 442--443 (2018), 72--102
  43. " Notions from Rough Set Theory in a Generalized Dependency Relation Context ", G. Chiaselotti, F. Infusino, International Journal of Approximate Reasonin, 98 (2018), 25--61
  44. " Rough Sets on Graphs: New Dependency and Accuracy Measures ", G. Chiaselotti, T. Gentile, F. Infusino, F. Tropeano, Discrete Mathematics, Algorithms and Application, Volume 10, Issue 5, 1 October 2018, Article number 1850063
  45. "Indiscernibility Structures Induced from Function Sets. Graph and Digraph Case ", G. Chiaselotti, T. Gentile, F. Infusino, P.A. Oliverio,Journal of Discrete Mathematical Sciences and Cryptography, Vol. 21 (2018), No.5, pp. 1069--1096
  46. " Dependency Relations ", G. Chiaselotti, F. Infusino, P.A. Oliverio, Bollettino dell'Unione Matematica Italiana, Vol.12, No.4 (2019), 525--548
  47. " New Perspectives of Granular Computing in Relation Geometry induced by Pairings ", G. Chiaselotti, T. Gentile, F. Infusino, Annali dell'Università di Ferrara, Vol.65, Issue 1, May 2019, 57--94. %doi:10.1007/s11565-019-00314-5
  48. " Symmetry Geometry by Pairings ", G. Chiaselotti, T. Gentile, F. Infusino, Journal of the Australian Mathematical Society, Vol. 106, Issue 3, 2019, 342--360
  49. " Local Dissymmetry on Graphs and Related Algebraic Structures ", G. Chiaselotti, T. Gentile, F. Infusino,International Journal of Algebra and Computation, Vol. 29, No. 8, 2019, 1499--1526
  50. " Lattice Representations with Set Partitions Induced by Pairings ", G. Chiaselotti, T. Gentile, F. Infusino,Electronic Journal of Combinatoric,, Volume 27, Issue 1 (2020), Article Number P1.19
  51. " Set Relations and Set Systems induced by some Families of Integral Domains ", G. Chiaselotti, F. Infusino, P.A. Oliverio, Advances in Mathematic,, Volume 363 (2020) 106999
  52. " Alexandroff Topologies and Monoid Actions ", G. Chiaselotti, F. Infusino, Forum Mathematicum",, Volume 32, Issue 3 (2020), 795--826
  53. " Object Similarity Measures and Pawlak's Indiscernibility on Decision Tables ", F. Catanzariti, G. Chiaselotti, F. Infusino, G. Marino, Information Science,, 539 (2020), 104--135
  54. " Some Classes of Abstract Simplicial Complexes motivated by Module Theory ", G. Chiaselotti, F. Infusino,Journal of Pure and Applied Algebra", Volume 225, Issue 1, January 2021, 106471
  55. " Some Classifications of Graphs with respect to a Set Adjacency Relation ", G. Chiaselotti, T. Gentile, F. Infusino, Discrete Mathematics, Algorithms and Applications, Vol. 13, No1 (2021) 2050089 (31 pages)
  56. " Real Subset Sums and Posets with an Involution ", C. Bisi, G. Chiaselotti, T. Gentile, International Journal of Algebra and Computation, 32(1), 2022, 127--157
  57. " Locally Finite Complexes, Modules and Generalized Information Systems ", G. Chiaselotti, F. Infusino, Journal of Algebra and its Applications, 21(2), 2250033, 2022
  58. " Granular Computing on Basic Digraphs ", G. Chiaselotti, T. Gentile, F. Infusino, Applicable Analysis and Discrete Mathematic,, 16 (2022), 23--54
  59. " Algebraic and Order Properties of Maps and Structures Related to Dependence Relations Arising in Topology, Algebra and Rough Set Theory ", G. Chiaselotti, F. Infusino, Journal of Algebra and its Application. In press https://doi.org/10.1142/S0219498825501026
  60. " On Some Categories of Structured Sets ", G. Chiaselotti, T. Gentile, F. Infusino, European Journal of Mathematic, Volume 10, article number 23, (2024), 1--41