Norman J. Finizio
Professor of Mathematics
202F Lippitt Hall
(401) 874-7636
norman_finizio@mail.uri.edu


Degrees Earned


Ph.D. Courant Institute of Mathematical Sciences
  New York University, February 1972
M.S. University of Rhode Island, June 1962
B.S. University of Rhode Island, June 1960




Publications


Texts/Exposition
  1. Ordinary Differential Equations with Modern Applications, Third Edition, Wadsworth Publishing Company, Belmont, CA, 1989 (with G. Ladas, University of Rhode Island) First Edition - 1978, Second Edition - 1982.


  2. Introduction to Differential Equations with Difference Equations, Fourier Series, and Partial Differential Equations, Wadsworth Publishing Company, Belmont, CA, 1982 (with G. Ladas, University of Rhode Island)


  3. Solutions Manual for (1), (2), Wadsworth Publishing Company, Belmont, CA 1982, (with G. Ladas, University of Rhode Island) First Edition - 1978


  4. A problem in balanced circular arrangements, College Mathematics Journal, Vol. 24, No. 1(Jan 1993), 95. (with James T. Lewis, University of Rhode Island)


  5. SOLS with a Symmetric Orthogonal Mate - SOLSSOMS, pp. 447-452 in Handbook of Combinatorial Designs C. Colbourn and J. Dinitz, eds., CRC Publishing Company, 1996.


  6. Ordinary Differential Equations with Modern Applications, Third Edition, Simon and Schuster Custom Publishing Company, Needham Heights, MA 1999. (with G. Ladas, University of Rhode Island)
  7. SOLS and SOLSSOMS, pp. 211-219 in Handbook of Combinatorial Designs - Second Edition C. Colbourn and J. Dinitz, eds., CRC Publishing Company, 2007. (with Zhu Lie, University of Souzhou, P. R. China)
  8. Whist Tournament Designs, pp. 663-668 in Handbook of Combinatorial Designs - Second Edition C. Colbourn and J. Dinitz, eds., CRC Publishing Company, 2007. (with Ian Anderson, University of Glasgow, Scotland)

Publications - non-refereed

  1. Two Classical Problems Simplified by the Introduction of Periodic Impulsive External Forces, Ph.D. dissertation, New York University, December, 1971. Major Advisor: James J. Stoker. (Appears in the Michigan Dissertation Series)


  2. Group Characters and Group Representations, M.S. Thesis, University of Rhode Island, June, 1962. Major Advisor: Albert A. Bennett. (On file at the University of Rhode Island Library.)


  3. A summary of the distributed element approach to main sea water system sound transmission. General Dynamics/Electric Boat Technical Report No. U411-62-060, December, 1962. (with Robert Robideau)


  4. Radiation from a cylinder-square horn combination transducer set in a plane wall. General Dynamics/Electric Boat Technical Report No. U411-62-045, December, 1962. (with Paul Nemergut, Malcolm Champlin, Donald McManus)


  5. Analysis of Variance IV, Univac 1107 Program No. 0260, Electric Boat Technical Report No. U414-65-004. Sept. 13, 1965 (with Robert Costello).


  6. Permutation Cubes, Combinatorists of New England, Some open problems, April, 1996. (with James T. Lewis, University of Rhode Island)


  7. Moore-Greig Designs II - Appendix Errata, Congressus Numerantium, 181(2006), 217.
Research Articles in Refereed Journals


Already in Print


  1. The group characters for a group of order $108$ associated with a Pappus theorem of projective geometry, Analele Stiintifice Ale Universtatii din Timisoara, Vol XI, fasc. 2, (1973), 115 - 122. MR 51 No. 5728


  2. Stability of columns subjected to periodic axial forces of impulsive type, Quarterly of Applied Math., Vol. 31, No.4(1974), 455- 466. MR 55 No. 4850


  3. Harmonic solutions of Duffing's equation forced by periodic impulses, Buletinul Institutului Polytechnic din Iasi, Tomul XXIII(XXVII), fasc. 3-4 (1977), 53 - 60. MR 58 No. 11655


  4. Orbits of cyclic Wh(v) of $Z_{N}$ -type, Congressus Numerantium, 82(1991), 15-28. MR 1 152 054


  5. A generalization of a construction of E. H. Moore, Bulletin of The Institute of Combinatorics and its Applications, Vol.6(1992), 39-46. (with Ian Anderson, University of Glasgow, Glasgow, Scotland) MR 93g:05058


  6. An infinite class of Z-cyclic triplewhist tournaments, Congressus Numerantium, 91(1992), 7-18. (with Ian Anderson, University of Glasgow.) MR 93j:05064


  7. Tournament designs balanced with respect to several bias categories, Bulletin of The Institute of Combinatorics and its Applications, Vol.9(1993), 69-95. MR 94c:05019


  8. Cyclically resolvable designs and triplewhist tournaments, Journal of Combinatorial Designs, Vol.1, 5(1993), 347-358. (with Ian Anderson, University of Glasgow.) MR 95g:05016


  9. Whist tournaments - three person property, Journal of Discrete Applied Mathematics, 45(1993), 125-137. MR 94h:05009


  10. Many more Z-cyclic whist tournaments. Congressus Numerantium, 94(1993), 123-129. (with Ian Anderson, University of Glasgow.) MR 94m:05051


  11. Z-cyclic triplewhist tournaments when the number of players involves primes of the form 8u + 5, Journal of Combinatorial Designs, Vol. 2, No. 1(1994), 31-40. MR 94i:05017


  12. Cyclic whist tournaments, Journal of Discrete Mathematics, 125(1994), 5-10. (with Ian Anderson, University of Glasgow.) MR 95c:05030


  13. Mann's lemma and Z-cyclic whist tournaments, Ars Combinatoria, 37(1994), 141-148. (with Ian Anderson, University of Glasgow.) MR 95b:05083


  14. Several infinite classes of Z-cyclic (v,4,1)-resolvable perfect Mendelsohn designs, v congruent to 1(mod 4), Utilitas Mathematica, 45(1994), 103-114. MR 95b:05047


  15. Some quick and easy SOLSSOMs. Congressus Numerantium, 99(1994), 307-313. MR 1 285 419


  16. Z-cyclic whist tournaments with patterned starter initial round, Journal of Discrete Applied Mathematics, 52(1994), 287-293. MR 95e:05025


  17. Character sums and Z-cyclic whist tournaments, Congressus Numerantium, 100(1994), 65-72. (with Ian Anderson and Robert Odoni, both of University of Glasgow, Scotland). MR 97d:05046


  18. Enumeration of maximal codes, Congressus Numerantium, 102(1994), 139-145. (with James T. Lewis, University of Rhode Island) MR 97e:94022


  19. More cyclic triplewhist tournaments, Journal of Combinatorial Designs, Vol.3, No.1(1995), 79-87. (with Ian Anderson, University of Glasgow, Scotland) MR 95j:05056


  20. A Representation Theorem and Z-cyclic Whist Tournaments, Journal of Combinatorial Designs, Vol.3, No.2(1995), 135-146. MR 95m:05061


  21. An existence theorem for cyclic triplewhist tournaments, Journal of Discrete Mathematics, 138(1995), 31-41. (with Ian Anderson and Steven Cohen, both of University of Glasgow, Scotland) MR 95m:05022


  22. A few more Z-cyclic whist tournaments. Journal of Combinatorial Mathematics and Combinatorial Computing, 19(1995), 93-95. MR 96f:05047


  23. Cohen's theorem and Z-cyclic whist tournaments, Ars Combinatoria, 41(1995), 87 - 96. (with Ian Anderson, University of Glasgow, Scotland) MR 96g:05032


  24. Distribution of common primitive roots. Congressus Numerantium, 108(1995), 85 - 95. (with James T. Lewis, University of Rhode Island) MR 96j:11006


  25. An infinite class of Z-cyclic whist tournaments on v players, v congruent to 1(mod 4). J. of Discrete Applied Mathematics, 66(1996), 135-146. MR 97e:90119


  26. Several cases wherein existence of Z-cyclic whist tournaments in Z$_{3qp}$ guarantee the existence of Wh$(3qp^{n})$, $n > 1$. Bulletin of the Institute of Combinatorics and its Applications, 16(1996) 49 - 64. MR 96m:05051


  27. Some new infinite classes of Z-cyclic triplewhist tournaments, Congressus Numerantium, 117(1996), 81 - 96. MR 98a:05038


  28. Z-cyclic triplewhist tournaments - the non compatible case, Part I, Journal of Combinatorial Designs, Vol. 5, No.1(1997), 33-48. MR 97k:05045


  29. Z-cyclic triplewhist tournaments - the non compatible case, Part II, Journal of Combinatorial Designs, Vol. 5 (1997), 189-201. MR 98b:05028


  30. Triplewhist tournaments that are also Mendelsohn designs, Journal of Combinatorial Designs Vol.5 (1997), 397-406. (with Ian Anderson, University of Glasgow.) MR 98h:05046


  31. A criterion for cyclic whist tournaments with the three person property. Utilitas Mathematica, 52(1997), 129-140. (with James T. Lewis, University of Rhode Island) MR 98i:05040


  32. Z-cyclic triplewhist tournaments - new results, Congressus Numerantium, 124(1997), 175 - 191. MR 98j:05040


  33. New infinite classes of Z-cyclic whist tournaments, Utilitas Mathematica, 53(1998), 81 - 89. MR 99d:05015


  34. More ZCPS-Wh(v) and several new infinite classes of Z-cyclic whist tournaments, Journal of Discrete Applied Mathematics, 85(1998), 193-202. (with Philip A. Leonard, Arizona State University.) MR 99h:05021


  35. Pitch tournament designs, Congressus Numerantium, 130(1998), 19-27. (with Scott J. Lewis, University of Rhode Island.) MR 99j:05046


  36. Z-cyclic triplewhist tournaments - some exceptional cases, Congressus Numerantium, 131(1998), 19-34.(with Adele J. Merritt, University of Rhode Island) MR 99j:05047


  37. Inductive extensions of Z-cyclic whist tournaments, Journal of Discrete Mathematics, 197/198(1999), 299-307. (With Philip A. Leonard, Arizona State University) MR 99k:05047


  38. Further results on Z-cyclic triplewhist tournaments, Utilitas Mathematica, 55(1999), 17-32. (with Adele J. Merritt, University of Rhode Island.) MR 1 685 710


  39. New product theorems for Z-cyclic whist tournaments, Journal of Combinatorial Theory, Series A, 88(1999), 162-166. (with Ian Anderson, University of Glasgow and Philip A. Leonard, Arizona State University.) MR 1 713 468


  40. Some specializations of pitch tournament designs, Utilitas Mathematica, 56(1999), 33-52. (with Scott J. Lewis, University of Rhode Island) MR: 2000h:05097


  41. Extensions of some Z-cyclic whist tournaments. Congressus Numerantium, 136(1999), 177-192. (With Adele J. Merritt, University of Rhode Island.) MR:2000m:05053


  42. Pitch Tournament Designs and other BIBDs - Existence Results for the Case v = 8n+1. Congressus Numerantium, 138(1999), 175-192. (with R. Julian R. Abel, University of New South Wales, Australia, Malcolm Greig, Greig Consulting, Vancouver, Canada, and Scott J. Lewis, University of Rhode Island.) MR 2000k:05034


  43. Some new Z-cyclic whist tournaments, Journal of Discrete Applied Mathematics, 101(2000), 115-130. (with Adele J. Merritt, University of Rhode Island. MR: 2000m:05052


  44. On the construction of directed-triplewhist tournaments, Journal of Combinatorial Mathematics and Combinatorial Computing, 35(2000), 107 - 115. (with Ian Anderson, University of Glasgow) MR: 2001j:05033


  45. (2,6) GWhD(v) - Existence Results and Some Z-cyclic Solutions, Congressus Numerantium, 144(2000), 5-39. (with R. Julian R. Abel, University of New South Wales, Australia, Malcolm Greig, Greig Consulting, Vancouver, Canada, and Scott J. Lewis, Murray State University) MR: 2001m:05069


  46. Pitch Tournament Designs and other BIBDs - Existence Results in the Case $v = 8n$, Journal of Combinatorial Designs, 9(2001), 334-356. (with R. Julian R. Abel, University of New South Wales, Australia, Malcolm Greig, Greig Consulting, Vancouver, Canada and Scott J. Lewis, Murray State University) MR: 2002e:05020


  47. (3,6) GWhD(v) - Existence Results for the Cases $v \equiv\ 0,1$ (mod $6$). Discrete Mathematics, Special Volume dedicated to Alex Rosa on the occasion of his 65th birthday, 261(2003), 3-26. (with R. Julian R. Abel, University of New South Wales, Australia, and Malcolm Greig, Greig Consulting, Vancouver, Canada) MR: 1961735


  48. $Z$-cyclic Whist Tournaments - A Generalization, Congressus Numerantium, 158(2002), 111-128. (with Adele J. Merritt, University of Louisiana at Monroe) MR: 1985143


  49. Ordered Whist Tournaments- Existence Results, Congressus Numerantium, 158(2002), 35-41. (with Stephanie Costa, University of Rhode Island and Philip A. Leonard, Arizona State University) MR: 1985143


  50. Generalized Whist Tournament Designs, Journal of Discrete Mathematics, 268(2003), 1-19. (with R. Julian R. Abel, University of New South Wales, Australia, Malcolm Greig, Greig Consulting, Vancouver, Canada, and Scott J. Lewis, Murray State University) MR: 1982385


  51. $(t,12)$ GWhD$(12n+1)$ - Existence Results for $t = 2,3,4$. Congressus Numerantium, 161(2003), 5-18. (with Stephanie Costa and Brian J. Travers, University of Rhode Island)


  52. $Z$-Cyclic Generalized Whist Frames and $Z$-Cyclic Generalized Whist Tournaments, Discrete Mathematics, 279(2004), 215-223. Special Volume dedicated to Lie Zhu on the occasion of his 60th birthday. (with Brian J. Travers, University of Rhode Island)


  53. One Frame and Several New Infinite Classes of $Z$-cyclic Whist Designs. Discrete Mathematics, 279(2004), 203-213. Special Volume dedicated to Zhu Lie on the occasion of his 60th birthday.


  54. Directed - Ordered Whist Tournaments and $(v,5,1)$ Difference Families: Existence Results and Some New Classes of $Z$-Cyclic Solutions, Discrete Applied Mathematics, 143(2004), 43-53. (with R. Julian R. Abel, University of New South Wales and Stephanie Costa, University of Rhode Island)


  55. Two New Classes of $Z$-Cyclic Triplewhist Designs, Utilitas Mathematica, 66(2004), 211-220. (with Stephanie Costa, University of Rhode Island)


  56. Some new $Z$-Cyclic Whist Tournament Designs, Journal of Discrete Mathematics, 293(2005), 19-28. (with Ian Anderson, University of Glasgow)


  57. Moore - Greig Designs II, Congressus Numerantium, 173(2005), 17-32. (with Jarred T. Collins, University of Rhode Island)


  58. Moore - Greig Designs III, Congressus Numerantium, 175(2005), 203-221. (with Jarred T. Collins, University of Rhode Island and Stephanie Costa, Rhode Island College)


  59. Moore - Greig Designs I, Journal of Combinatorial Mathematics and Combinatorial Computing, 56(2006), 123-137. (with Jarred T. Collins, University of Rhode Island)


  60. New $Z$-Cyclic Triplewhist Frames and Triplewhist Tournament Designs, Journal of Discrete Applied Mathematics, 154(2006), 1649-1673. (with R. Julian R. Abel, University of New South Wales, Gennian Ge, Zhejiang University, Hangzhou, P.R. China and Malcolm Greig, Greig Consulting, Vancouver, British Columbia)


  61. Primitive Polynomials over Composite Galois Fields, Congressus Numerantium, 178(2006), 77-96.


  62. $Z$-Cyclic $(t,8)$ GWhD$(v)$, $t = 2,4$, Utilitas Mathematica, 72(2007), 125-138. (with Marco Buratti, University of Perugia, Italy, Malcolm Greig, Greig Consulting, Vancouver, British Columbia and Brian J. Travers, Salem State College)


  63. Existence Results for 1-Rotational Steiner 2-Designs with Block Size $6$ or $8$. Bulletin of the Institute of Combinatorics and its Applications, 50(2007), 29-44. (with Marco Buratti, University of Perugia, Perugia, Italy)


  64. $(2,10)$ GWhD$(10n+1)$ - Existence Results, Journal of Combinatorial Mathematics and Combinatorial Computing, 61(2007), 3-19. (with R. Julian R. Abel, University of New South Wales, Stephanie Costa, Rhode Island College, and Malcolm Greig, Greig Consulting, Vancouver, British Columbia)


  65. $Z$-cyclic DTWh$(p)$/OTWh$(p)$, for primes $p \equiv 2^{k}+1 \allowbreak \mkern10mu ({\rm mod}\,\,2^{k+1})$, $k = 5,6,7$ - An Empirical Study, Congressus Numerantium, 185(2007), 185-207.
  66. Splittable Whist Tournament Designs. Congressus Numerantium, 189(2008), 193-203. (with David R. Berman and Douglas D. Smith, University of North Carolina - Wilmington)


  67. A Generalization of the Anderson - Ellison Methodology for $Z$-cyclic DTWh$(p)$ and OTWh$(p)$, Journal of Combinatorial Mathematics and Combinatorial Computing, 68(2009), 73-83.


  68. Existence of $(2,8)$ GWhD$(v)$ and $(4,8)$ GWhD$(v)$ with $v \equiv\ 0,1$ (mod $8$). Designs, Codes and Cryptography, 51(2009), 79-97. (with R. Julian R. Abel, University of New South Wales, Malcolm Greig, Greig Consulting, Vancouver, British Columbia and Luis Morales, Mexico City, Mexico)


  69. Existence of $Z$-cyclic DTWh$(p)$ and $Z$-cyclic OTWh$(p)$, for primes $p \equiv 17 \allowbreak \mkern10mu ({\rm mod}\,\,32)$, Utilitas Mathematica, 79(2009), 207-219.







Articles accepted but yet to appear



  1. Balanced Whist Tournaments, Journal of Combinatorial Mathematics and Combinatorial Computing. (with Sunra Mosconi. Politecnico di Milano, Milano, Italy)


  2. Existence of $Z$-cyclic DTWh$(p)$ and $Z$-cyclic OTWh$(p)$, for primes $p = 2^{k}t+1,\ t$ odd $k = 8$, Congressus Numerantium. (with Stephanie Costa and Christopher Teixeira, Rhode Island College)