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   Norman J. Finizio  

 

Professor of Mathematics

219 Tyler Hall

(401) 874 – 7636

finizio@uriacc.uri.edu

DEGREES EARNED

 

 

 

 

 
1972
Ph. D.
New York University

 

 
1962
M. S.
University of Rhode Island

 

 
1960
B. S.
University of Rhode Island

 

 

 

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, in Handbook of Combinatorial Designs - Second Edition C. Colbourn and J. Dinitz, eds., CRC Publishing Company, 2006 (approx.). (with Zhu Lie, University of Souzhou, P. R. China)
  8. Whist Tournament Designs, in Handbook of Combinatorial Designs - Second Edition C. Colbourn and J. Dinitz, eds., CRC Publishing Company, 2006 (approx.). (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.
  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)

 

Research Articles in Refereed Journals

1. 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 ZN -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, URI) MR 96j:11006
  25. An infinite class of Z-cyclic whist tournaments on v players, v º 1 (mod 4). J. of Discrete Applied Mathematics, 66(1996), 135-146. MR 97e:90119
  26. Several special cases wherein existence of Z-cyclic whist tournaments in Z3qp guarantee the existence of Wh(3qpn), 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 º  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)

 Papers accepted but yet to appear

  1. Z-Cyclic (t,8) GWhD(v), t = 2,4, Utilitas Mathematica. (with Marco Buratti, University of Perugia, Italy, Malcolm Greig, Greig Consulting, Vancouver, British Columbia and Brian J. Travers, Salem State College)
  2. (2,10) GWhD(10n+1) - Existence Results. (with R. Julian R. Abel, University of New South Wales, Stephanie Costa, Rhode Island College and Malcolm Greig, Greig Consulting, Vancouver, British Columbia)
  3. New Z-Cyclic Triplewhist Frames and Triplewhist Tournament Designs, Journal of Discrete Applied Mathematics. (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)

 Papers submitted

  1. Existence Results for 1-Rotational Steiner 2-Designs with Block Size 6 or 8. (with Marco Buratti, University of Perugia, Perugia, Italy)
  2. Primitive Polynomials over Composite Galois Fields.

Professional Society Memberships I am a member (fellow) of The Institute of Combinatorics and its Applications (ICA). When this institute was founded, I was elected to be a Foundation Fellow. At the Annual Meeting of the Institute in March, 2004 I was elected to the Council of this Institute. The ICA has approximately 900 members worldwide. Its administration consists of a seven (7) member Executive Committee and a nineteen (19) member Council. Members of the Executive Committee are elected for a one-year term and members of the Council are elected for three-year terms. It is possible for an individual to serve more than one term in either capacity.