Publications by Robert Dawson

BLACK:Mathematics BROWN:Computing BLUE: Statistics GREEN: other

Refereed publications:

  1. On Removing a Ball Without Disturbing the Others, Mathematics Magazine 57 (1984) 27--30
  2. On Packing Space with Different Integer Cubes, Journal of Combinatorial Theory Series A 36 (1984) 221--229
  3. Random Fibonacci-Type Sequences (with G. Gabor, R. Nowakowski, and D. Wiens) Fibonacci Quarterly 23 (1985) 169--176
  4. Monostatic Simplexes, American Mathematical Monthly 92 (1985) 561--564
  5. On the Mobility of Bodies in Rn, Mathematical Proceedings of the Cambridge Philosophical Society 98 (1985) 403--412; corrigendum in 99 (1986) 377--379
  6. Limits and Colimits of Convexity Spaces, Cahiers de Topologie et Géométrie Différentielle Catégoriques 28 (1987) 307--328
  7. On Designing Efficient Consensus Protocols (with A. Farrag), Proceedings of the IFIP Conference on Distributed Processing Amsterdam, Oct. 1987 413--427
  8. On the Impossibility of Packing Space with Cubes, Journal of Combinatorial Theory, Series A 40 (1988) 174--188
  9. A Simplification of the Eilenberg-Steenrod Axioms for Finite Simplicial Complexes, Journal of Pure and Applied Algebra 53 (1988) 257--265
  10. Paradoxical Connections, American Mathematical Monthly 96 (1989) 31--33
  11. Designing Optimal Fault-Tolerant Star Networks (with A. Farrag), Networks 19 (1989) 707--716
  12. Fault-Tolerant Extensions of Complete Multipartite Networks (with A. Farrag), IEEE Proceedings of the 9th International Conference on Distributed Computing Systems, California, June 1989 143--150
  13. Families of Bodies with Definite Common Supports (with M. Edelstein), Geometriae Dedicata 33 (1990) 195--204
  14. A High-Speed, Low-Precision Square Root (with P. Lalonde) Graphics Gems 424--426, (+ C implementation in appendix, 756--757) (Academic Press, 1990)
  15. Homology of Weighted Simplicial Complexes: Cahiers de Topologie et Géométrie Différentielle Catégoriques 31 (1990) 229--243
  16. Fault-Tolerant Extensions of Star Networks (with A. Farrag): Networks 21 (1991) 373--385
  17. Families of Bodies in the Plane with Common Supports: Geometriae Dedicata 45 (1993) 289--299
  18. General Associativity and General Composition for Double Categories (with R. Paré): Cahiers de Topologie et Géométrie Différentielle Catégoriques 34 (1993) 57--79
  19. Simplicial Homology of Preconvexity Spaces: Cahiers de Topologie et Géométrie Différentielle Catégoriques 34 (1993) 321--345
  20. Characterizing Tileorders (with R. Paré): Order 10 (1993) 111--128
  21. Towers of Powers, Modulo m: College Mathematics Journal 25 (1994) 22--28
  22. The Fault-Tolerant Extension Problem for Complete Multipartite Networks (with A. Farrag): IEEE Transactions on Parallel and Distributed Systems 5 (1994) 205--210
  23. Common Supports of Families of Sets: Geometriae Dedicata 51 (1994) 1--13
  24. A Forbidden-Suborder Characterization of Binarily Composable Diagrams in Double Categories: Theor. Applic. Categories 1 (1995) 146--155 [Online]
  25. How Many Light Bulbs Does it Take to Generate a Data Set? American Statistician 50 (1996) 247-249
  26. Turning the Tables: a t-table for Today, Jour. Stat. Ed. 1997 [Online]
  27. Monostatic Simplexes II (with W. Finbow and P. Mak), Geometriae Dedicata 70 (1998) 209-219
  28. Formal Summation of Divergent Series, Journal of Mathematical Analysis and its Applications 225(1998) 532--541
  29. What Shape is a Loaded Die? (with W. Finbow), Mathematical Intelligencer 22 (1999) 32-37
  30. A Generalized Face Number for Hyperbolic Honeycombs, Geometriae Dedicata 80 (2000) 297--309
  31. Monostatic Simplexes III (with W. Finbow), Geometriae Dedicata 84 (2001) 101-113
  32. Undecidability and Free Adjoints (with R. Paré and D. Pronk), Proceedings of the World Multiconference on Systemics, Cybernetics and Informatics 2001, Volume XIV, ISC, Orlando, 2001, 156-161
  33. What is a Double Category Like? (with R. Paré), Journal of Pure and Applied Algebra 168 (2002) 19-34 [Online]
  34. Single-split tilings of the sphere with right triangles; in "Discrete Geometry: In Honor of W. Kuperberg's 60th Birthday" (A. Bezdek, ed.; Feb. 2003, Dekker Lecture Notes in Pure and Applied Mathematics), 207-214
  35. Adjoining adjoints (with R. Paré and D. Pronk) [Online] ; Adv. in Math. 178 (2003), 99-140
  36. Crooked Wallpaper, journal of graphics tools 8 (2003) 33-46
  37. An isosceles triangle that tiles the sphere in exactly three ways; Disc. and Comp. Geom. 30(2003)459-466 [Online]
  38. Tilings of the Sphere with Isosceles Triangles; Disc. and Comp. Geom. 30(2003) 467-487 [Online]
  39. Undecidability of the free adjoint construction (with R. Paré and D. Pronk) [Online] , Applied Categorical Structures 11(2003) 403-419
  40. Free extensions of double categories (with R. Paré and D. Pronk); Cahiers de Topologie et Géométrie Différentielle Catégoriques 45-1 (2004), 35-80 [Online]
  41. Growth of the lichen Rhizocarpon lecanorinum, with comments on Aplin-Hill and lichenometric curves (with S.R. Claydon and A. Pentecost); Symbiosis 37 (2004) p.379-394
  42. Universal properties of Span (with R. Paré and D. Pronk); Theor. Applic. Categories 13 (2004) [Online]
  43. On a "Singular" Integration Technique of Poisson; American Mathematical Monthly 112 (2005) 270-272 [Online]
  44. Differentiate early, differentiate often! College Math. Journal 36 (2005) 404-408[Online]
  45. Some new tilings of the sphere with congruent triangles, Renaissance Banff, Mathematics, Music, Art, Culture: Conference Proceedings (2005) 489-496
  46. Tilings of the sphere with right triangles I: the asymptotically right case (with B. Doyle) Electronic Journal of Combinatorics 13(1) (2006) #R48 [Online]
  47. Tilings of the sphere with right triangles II: the (1,3,2),(0,2,n) subfamily (with B. Doyle) Electronic Journal of Combinatorics 13(1) (2006) #R49 [Online]
  48. Paths in double categories (with R. Paré and D. Pronk) Theor. Applic. Categories 16(2006) 460-521 [Online]
  49. Crackpot angle bisectors! [Online] Mathematics Magazine 80 (2007) 59-64
  50. Čebyšev sets in hyperspaces over a Minkowski space (with A.Bogdewicz and M. Moszynska ) Glasnik Matematicki , 42 , No.1 (2007), 57-67
  51. Tilings of the sphere with right triangles III: the asymptotically obtuse case (with B. Doyle) Electronic Journal of Combinatorics 14(1) (2007) #R48 [Online]
  52. Čebyšev sets in hyperspaces (with M. Moszynska), Canadian Journal of Mathematics 61(2009) 299-314 [Online]
  53. Some Čebyšev sets with dimension d+1 in hyperspaces over Rd, Convex and Fractal Geometry, Banach Center Publications 84 (2009) 89-110 [Online]
  54. Your Name Here: The Evolution of Bryce's Commercial Arithmetic, Papers of the Bibliographical Society of Canada, 47 Spring 2009 5-44
  55. The Span construction (with R. Paré and D. Pronk.) Theor. Applic. Categories 24 (2010) 302-377 [Online]
  56. Monotone and Čebyšev arcs in hyperspaces. Jour. Geom. 98-1 (Aug. 2010) 1-19 [Online]
  57. How Significant is a Boxplot Outlier? Journal of Statistical Education, 19.2(2011), [Online]
  58. On a Probability Problem of Charles Dodgson, Jour. Rec. Math. 36(3) (2007) [2011] 198-204
  59. Arithmetic polygons American Mathematical Monthly, 119 (2012) 695-698
  60. On a Conjecture of Dey and De, Jour. Rec. Math. 37(1) (2008) [2012] 23-24
  61. Čebyšev sets in the hyperspace K1 (with S. Levy) Atl. Elect. Jour. Math 5(1)(2012), 1-15 [Online]
  62. The Logarithmic Compass (with P. Milici), Mathematical Intelligencer, 34 no. 4 (2012) 63-67
  63. Orbits and Locked Gimbals, Mathematical Intelligencer 35 no. 1 (2013) 67-70
  64. Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-II (with A. Breda and P. Ribiero): Acta Math Sinica, English Series August 2014 pp. 1435–1464
  65. Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-III (with A. Breda and P. Ribiero): Journal of Advances in Mathematics 12.3 (2016) pp. 5992–6013
  66. On some sequences related to the sums of powers, Journal of Integer Sequences 18.7.6 (2018)
  67. Rectification of Circular Arcs by Linkages (with P. Milici) Math. Intelligencer 42, 18–23 (2020). https://doi.org/10.1007/s00283-019-09912-9
  68. Partitioning the 5x5 array into partitions of circles, Contributions to Discrete Mathematics , to appear

Submitted papers

    Unrefereed scholarly or educational publications:

    1. The "Unusual Episode" Data Revisited, Jour. Stat. Ed. 1995[Online]
    2. Light Traps (with B. E. McDonald, J. Mycielski, and L. Pachter), MIT LCS Technical Memo 560 (1996) [Online]
    3. Beyond the Comfort Zone, Teaching and Learning at Saint Mary's 6 , no. 1 (1996), 3--5
    4. Do We Need to Know This for the Exam?, Teaching and Learning at Saint Mary's 7, no. 3 (1997), 1--8
    5. Notes for Math 207 (Survey of Statistics) , SMU, 1998 (1999 edition revised with A. Almudevar), 158pp
    6. A peculiarity of the Wilcoxon-Mann-Whitney rank-sum test, SMU Math/CS Technical Report 2000-002 [Online]
    7. An isosceles triangle that tiles the sphere in exactly three ways, SMU Math/CS Technical Report 2000-005 [Online]
    8. Preparing for University Calculus (editor and major author), APICS, 2000, 42pp [Online]
    9. Adjoints and Turing Machines, Proceedings of APICS Math/Stat and CS Joint Conference (with R. Paré and D. Pronk), 2001
    10. Real Men Lecture Unplugged, Teaching and Learning at Saint Mary's 13, no.1 (2002), 1-2
    11. The Atlantic High School Mathematics Curriculum: Implications for Universities (with M. Burke, E. Goodaire, P. Gosse, and M. Tingley), APICS, 2002, 22pp [Online]
    12. Errata and Suggestions for Improvement in the Mathematical Modeling Textbook Series (with D. Hamilton and M. Tingley), APICS, 2002, 43pp [Online]
    13. Errata and Suggestions for Improvement in the Constructing Mathematics Textbook Series (with M. Tingley), 2003, 72pp [Online]
    14. Does the function y=x6/7 have a node at 0 ?, College Math Journal 35 (2004), "Fallacies, Flaws, and Flimflam" FF230 383-4
    15. Cheating: Can We Be Part of the Solution? A Response to Johnson, The Teaching Professor 19, June-July (2005) [Online]
    16. Putnam Proof Without Words [Online] Mathematics Magazine , April 2006 p.149
    17. Curiosum [Online] /What Is It? [Online] , Mathematical Intelligencer , 31 no.2 (2009), pp.7,57-58.
    18. Constrained optimization problems, chapter in course pack (16pp), 2009
    19. Let Me Take It Down (with J. Brown), CMS Notes 43-1 (Feb. 2011) 16-17 [Online]

    Other publications

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