Publications of Emanuele Munarini
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Department of Mathematics
Politecnico di Milano

E-mail: emanuele.munarini@polimi.it

Papers,  Books,  Scientific Reports,  Thesis

Papers
  1. E. Munarini, N. Zagaglia Salvi, Structural and enumerative properties of the Fibonacci cubes, Intellectual Systems, Vol. 2, n. 1-4, 1997 (translated into Russian).
  2. E. Munarini, A Combinatorial interpretation of the generalized Fibonacci numbers, Adv. in Appl. Math. 19 (1998), 306-318.
  3. S. Fontanesi, E. Munarini, N. Zagaglia Salvi, On the Fibonacci semilattices, in Algebras and Combinatorics, An International Congress, ICAC '97, Hong Kong, K.-P. Shum, E.J. Taft, Z.-X. Wan editors, Springer-Verlag Singapore 1999, 237-245.
  4. G.-C. Meloni, E. Munarini, Purely algebraic theories of elementary operational calculus and generalized functions, Rendiconti del Circolo Matematico di Palermo, Categorical Studies in Italy, R. Betti and F. W. Lawvere editors, serie II - numero 64 - anno 2000, pp. 29-42.
  5. O. M. D'Antona, E. Munarini, The cycle-path indicator polynomial of a digraph, Adv. in Appl. Math. 25 (2000), 41-56.
  6. O. M. D'Antona, E. Munarini, A combinatorial interpretation of the punctured partitions, J. Combin. Theory Ser. A 91 (2000), 264-282.
  7. E. Munarini, C. Perelli Cippo, N. Zagaglia Salvi, On the Lucas cubes, Fibonacci Quart. 39 (2001), 12-21.
  8. E. Munarini, N. Zagaglia Salvi, Structural and enumerative properties of the Fibonacci cubes, Discrete Math. 255 (2002), 317-324.
  9. E. Munarini, N. Zagaglia Salvi, On the rank polynomial of the lattice of order ideals of fences and crowns, Discrete Math. 259 (2002), 163-177.
  10. E. Munarini, N. Zagaglia Salvi, Scattered subsets, Discrete Math. 267 (2003), 213-228.
  11. E. Munarini, N. Zagaglia Salvi, On Fibonacci-like cubes, Rendiconti del Seminario Matematico di Messina Serie II - Volume 9 (2003), 185-199.
  12. E. Munarini, N. Zagaglia Salvi, Circular binary strings without zigzags, Integers 3 (2003), A19 (17 pages).
  13. E. Munarini, N. Zagaglia Salvi, Binary strings without zigzags, Sèminaire Lotharingien de Combinatoire, 49 (2004), Article B49h (15 pages).
  14. E. Munarini, The many faces of the Fibonacci graphs, Bull. ICA 44 (2005), 93--98.
  15. E. Munarini, Generalization of a binomial identity of Simons, Integers 5 (2005), A15 (3 pages).
  16. G. Castiglione, A. Frosini, E. Munarini, A. Restivo, S. Rinaldi, Enumeration of L-convex polyominoes. II. Bijection and area. Proceedings of the 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics, Taormina, Sicily, Italy; 20-25 June 2005.
  17. O. M. D'Antona, E. Munarini, A combinatorial interpretation of the connection constants for persistent sequences of polynomials, Eur. J. Comb. 26 (2005), 1105-1118.
  18. E. Munarini, Enumeration of order ideals of a garland, Ars Combin. 76 (2005), 185-192.
  19. E. Munarini, Generalized q-Fibonacci numbers, Fibonacci Quart. 43 (2005), 234-242.
  20. E. Munarini, D. Torri, Cayley continuants, Theoret. Comput. Sci. 347 (2005), 353-369.
  21. E. Munarini, M. Poneti, S. Rinaldi, Matrix compositions, Proceedings of the 18th International Conference on Formal Power Series & Algebraic Combinatorics, June 19--23, 2006, San Diego, California.
  22. E. Munarini, A combinatorial interpretation of the Chebyshev polynomials, SIAM J. Discrete Math. 20 (2006), 649-655.
  23. E. Grazzini, E. Munarini, M. Poneti, S. Rinaldi, m-compositions and m-partitions: exhaustive generation and Gray code, Pure Math. Appl. 17 (2006), 111-121.
  24. G. Castiglione, A. Frosini, E. Munarini, A. Restivo, S. Rinaldi, Combinatorial aspects of L-convex polynomials, Eur. J. Comb. 28 (2007), 1724-1741.
  25. O. M. D'Antona, E. Munarini, Funzioni aritmetiche e serie di Dirichlet, Bollettino dei docenti di Matematica 55 (2007), 63-78.
  26. E. Munarini, C. Perelli Cippo, A. Scagliola, N. Zagaglia Salvi, Double graphs, Discrete Math. 308 (2008), 242-254.
  27. E. Munarini, Characteristic, admittance and matching polynomials of an antiregular graph, Appl. Anal. Discrete Math. 3 (2009), 157-176.
  28. E. Munarini, M. Poneti, S. Rinaldi, Matrix compositions, J. Integer Seq., 12 (2009), Article 09.4.8 (28 pages).
  29. E. Munarini, On the Euler characteristic of finite distributive lattices, pp. 165-186, in From Combinatorics to Philosopy. The Legacy of G.-C. Rota, E. Damiani, O. D'Antona, V. Marra, F. Palombi Editors, Springer 2009.
  30. E. Munarini, Median double graphs, Bull. ICA 57 (2009), 74-78.
  31. E. Munarini, Combinatorial properties of the antichains of a garland, Integers 9 (2009), 353-374.
  32. E. Deutsch, E. Munarini, S. Rinaldi, Skew Dyck paths, area, and superdiagonal bargraphs, J. Statist. Plann. Inference 140 (2010), 1550-1562.
  33. E. Deutsch, E. Munarini, S. Rinaldi, Skew Dyck paths, J. Statist. Plann. Inference 140 (2010), 2191-2203.
  34. E. Munarini, Formal series in Mathematica, Atti del Convegno "Mathematica Italia - User Group Meeting 2010".
  35. O. D'Antona, P. Codara E. Munarini, Mathematica sa fare le somme?, Atti del Convegno "Mathematica Italia User Group Meeting 2010".
  36. L. Ferrari, E. Munarini, Lattices of paths: representation theory and valuations, Journal of Combinatorics 2 (2011), 265-291.
  37. R. Lucchetti, P. Radrizzani, E. Munarini, A new family of regular semivalues and applications, Internat. J. Game Theory 40 (2011), 655-675.
  38. E. Munarini, Riordan matrices and sums of harmonic numbers, Appl. Anal. Discrete Math. 5 (2011), 176-200.
  39. E. Munarini, Riordan matrices, Atti del Convegno "Mathematica Italia - User Group Meeting 2011".
  40. E. Munarini, C. Perelli Cippo, On some colorings of a double graph, Electron. Notes Discrete Math. 40 (2013), 277-281.
  41. E. Munarini, C. Perelli Cippo, N. Zagaglia Salvi, On the adjacent vertex distinguishing edge colorings of direct products of graphs, pp. 369-392, in: Marco Buratti, Curt Lindner, Francesco Mazzocca, Nicola Melone (curatori), Recent Results in Designs and Graphs: a Tribute to Lucia Gionfriddo, Quaderni di Matematica 28, Aracne editrice, Roma 2013, 472 pagine.
  42. L. Ferrari, E. Munarini, Enumeration of edges in some lattices of paths, J. Integer Seq., 17 (2014), Article 14.1.5 (22 pages).
  43. L. Ferrari, E. Munarini, Enumeration of chains and saturated chains in Dyck lattices, Adv. in Appl. Math. 62 (2015), 118-140.
  44. E. Munarini, Reticoli di cammini, Atti del Convegno "Mathematica Italia - User Group Meeting 2015".
  45. E. Munarini, Shifting Property for Riordan, Sheffer and connection constants matrices, J. Integer Seq. 20 (2017), Article 17.8.2 (31 pages).
  46. E. Munarini, Shifting property and other binomial identities for the bivariate Fibonacci polynomials, Bull. ICA 82 (2018), 42-50.
  47. S. Capparelli, M. M. Ferrari, E. Munarini, N. Zagaglia Salvi, A Generalization of the ``Problème des rencontres'', J. Integer Seq. 21 (2018), Article 18.2.8 (26 pages).
  48. E. Munarini, A generalization of André-Jeannin's symmetric identity, Pure Math. Appl. 27 (2018), 98-118.
  49. E. Munarini, Some q-binomial identities involving the generalized q-Fibonacci numbers, Integers 18 (2018), A76 (15 pages).
  50. E. Munarini, Combinatorial identities for Appell polynomials, Appl. Anal. Discrete Math., 12 (2018), 362-388.
  51. E. Munarini, I grafi di de Grey e le colorazioni del piano, MaddMaths! (MAtematica Divulgazione Didattica), 6 Maggio 2018.
  52. M. M. Ferrari, E. Munarini, Decomposition of some Hankel matrices generated by the generalized rencontres polynomials, Linear Algebra Appl. 567 (2019), 180-201.
  53. F. Disanto, E. Munarini, Local height in weighted Dyck models of random walks and the variability of the number of coalescent histories for caterpillar-shaped gene trees and species trees, SN Appl. Sci. 1: 578 (2019), (19 pages).
  54. E. Munarini, Pell graphs, Discrete Math. 342 (2019), 2415-2428.
  55. E. Munarini, Callan-like identities, Online J. Anal. Comb. 14 (2019), Article #06 (20 pages).
  56. E. Munarini, Combinatorial identities involving the central coefficients of a Sheffer matrix, Appl. Anal. Discrete Math. 13 (2019), 495-517.
  57. E. Munarini, q-derangement identities, J. Integer Seq. 23 (2020), 20.3.8 (30 pages).
  58. E. Munarini, Combinatorial identities for the Tricomi polynomials, J. Integer Seq. 23 (2020), 20.9.4 (13 pages).
  59. M. M. Ferrari, E. Munarini, N. Zagaglia Salvi, Some combinatorial properties of the generalized derangement numbers, Riv. Mat. Univ. Parma (N.S.) 11 (2020), 217-249.
  60. E. Munarini, Topological indices for the antiregular graphs, Le Matematiche LXXVI (2021), 277-310.
  61. H. Alzer, E. Munarini, A new class of polynomials related to the stirling numbers and series representations for some mathematical constants, Integers 21 (2021), Article A121 (19 pages).
  62. E. Munarini, A combinatorial characterization of the generalized exponential and Fubini polynomials, Online J. Anal. Comb. 16 (2021), Article #9 (12 pages).
  63. E. Munarini, A note on a definite integral of combinatorial interest, Bull. ICA 94 (2022), 35--52.
  64. E. Munarini, An operational approach to the generalized rencontres polynomials, Kragujevac J. Math. 46(3) (2022), 461--469.
  65. E. Munarini, Umbral operators for Cayley and Sylvester continuants, Appl. Anal. Discrete Math. 16 (2022), 307-327.
  66. E. Munarini, Two-parameter identities for q-Appell polynomials, J. Integer Seq. 26 (2023), Article 23.3.1.
  67. E. Munarini, Tricomi continuants, Mathematics 12(3) (2024), Article 401.

Books
  1. E. Munarini, N. Zagaglia Salvi, Matematica Discreta, Utet CittàStudiMilano, Milano, 1997.
  2. E. Munarini, Algebra Lineare e Geometria Analitica, Esculapio, Bologna, 2006.
  3. E. Munarini, Esercizi di Algebra Lineare e Geometria Analitica, Esculapio, Bologna, 2006.
  4. E. Munarini, Analisi e Geometria 1, Esculapio, Bologna 2021.
  5. E. Munarini, Esercizi di Analisi e Geometria 1, Esculapio, Bologna 2021.

Scientific Reports
  1. G.-C. Meloni, E. Munarini, Un Calcolo Operazionale Algebrico, Quaderno nr. 38/1995 del Dipartimento di Matematica dell'Università degli Studi di Milano.
  2. E. Munarini, Proprietà poco note dei polinomi in una variabile. Appunti del corso di Gian-Carlo Rota (Potenza 1997), Quaderno del Dipartimento di Matematica Francesco Brioschi del Politecnico di Milano, n. 20/R, maggio 1998.
  3. E. Munarini, Aspetti combinatorici della teoria delle rappresentazioni dei gruppi finiti, Quaderno del Dipartimento di Matematica Francesco Brioschi del Politecnico di Milano, preprint.
  4. F. G. Lastaria, E. Munarini, D. Torri, Enumerative Combinatorics: Methods and Applications, Quaderno del Seminario Matematico dell'Università Cattolica di Brescia, Quad2001n22.

Thesis

Approcci Algebrici alle Funzioni Generalizzate, tesi di Laurea in Matematica, Università degli Studi di Milano, 1993.