Publications by Robert Dawson
BLACK:Mathematics BROWN:Computing
BLUE: Statistics GREEN: other
Refereed publications:
- On Removing a Ball Without Disturbing the Others, Mathematics Magazine 57 (1984) 27--30
- On Packing Space with Different Integer Cubes, Journal of Combinatorial Theory Series A 36 (1984) 221--229
- Random Fibonacci-Type Sequences (with G. Gabor, R. Nowakowski, and D. Wiens) Fibonacci Quarterly 23 (1985) 169--176
- Monostatic Simplexes, American Mathematical Monthly 92 (1985) 561--564
- On the Mobility of Bodies in Rn, Mathematical Proceedings of the Cambridge Philosophical Society 98 (1985) 403--412; corrigendum in 99 (1986) 377--379
- Limits and Colimits of Convexity Spaces, Cahiers de Topologie et Géométrie Différentielle Catégoriques 28 (1987) 307--328
- On Designing Efficient Consensus Protocols (with A. Farrag), Proceedings of the IFIP Conference on Distributed Processing Amsterdam, Oct. 1987 413--427
- On the Impossibility of Packing Space with Cubes, Journal of Combinatorial Theory, Series A 40 (1988) 174--188
- A Simplification of the Eilenberg-Steenrod Axioms for Finite Simplicial Complexes, Journal of Pure and Applied Algebra 53 (1988) 257--265
- Paradoxical Connections, American Mathematical Monthly 96 (1989) 31--33
- Designing Optimal Fault-Tolerant Star Networks (with A. Farrag), Networks 19 (1989) 707--716
- 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
- Families of Bodies with Definite Common Supports (with M. Edelstein), Geometriae Dedicata 33 (1990) 195--204
- A High-Speed, Low-Precision Square Root (with P. Lalonde) Graphics Gems 424--426, (+ C implementation in appendix, 756--757) (Academic Press, 1990)
- Homology of Weighted Simplicial Complexes: Cahiers de Topologie et Géométrie Différentielle Catégoriques 31 (1990) 229--243
- Fault-Tolerant Extensions of Star Networks (with A. Farrag): Networks 21 (1991) 373--385
- Families of Bodies in the Plane with Common Supports: Geometriae Dedicata 45 (1993) 289--299
- General Associativity and General Composition for Double Categories (with R. Paré): Cahiers de Topologie et Géométrie Différentielle Catégoriques 34 (1993) 57--79
- Simplicial Homology of Preconvexity Spaces: Cahiers de Topologie et Géométrie Différentielle Catégoriques 34 (1993) 321--345
- Characterizing Tileorders (with R. Paré): Order 10 (1993) 111--128
- Towers of Powers, Modulo m: College Mathematics Journal 25 (1994) 22--28
- The Fault-Tolerant Extension Problem for Complete Multipartite Networks (with A. Farrag): IEEE Transactions on Parallel and Distributed Systems 5 (1994) 205--210
- Common Supports of Families of Sets: Geometriae Dedicata 51 (1994) 1--13
- A Forbidden-Suborder Characterization of Binarily Composable Diagrams in Double Categories: Theor. Applic. Categories 1 (1995) 146--155 [Online]
- How Many Light Bulbs Does it Take to Generate a Data Set? American Statistician 50 (1996) 247-249
- Turning the Tables: a t-table for Today, Jour. Stat. Ed. 1997 [Online]
- Monostatic Simplexes II (with W. Finbow and P. Mak), Geometriae Dedicata 70 (1998) 209-219
- Formal Summation of Divergent Series, Journal of Mathematical Analysis and its Applications 225(1998) 532--541
- What Shape is a Loaded Die? (with W. Finbow), Mathematical Intelligencer 22 (1999) 32-37
- A Generalized Face Number for Hyperbolic Honeycombs, Geometriae Dedicata 80 (2000) 297--309
- Monostatic Simplexes III (with W. Finbow), Geometriae Dedicata 84 (2001) 101-113
- 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
- What is a Double Category Like? (with R. Paré), Journal of Pure and Applied Algebra 168 (2002) 19-34 [Online]
- 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
- Adjoining adjoints (with R. Paré and D. Pronk)
[Online] ; Adv. in Math. 178 (2003), 99-140
- Crooked Wallpaper, journal of graphics tools 8 (2003) 33-46
- An isosceles triangle that tiles the sphere in exactly three ways; Disc. and Comp. Geom. 30(2003)459-466 [Online]
- Tilings of the Sphere with Isosceles Triangles; Disc. and Comp. Geom. 30(2003) 467-487 [Online]
- Undecidability of the free adjoint construction (with R. Paré and D. Pronk) [Online] , Applied Categorical Structures 11(2003) 403-419
- Free extensions of double categories (with R. Paré and D. Pronk); Cahiers de Topologie et Géométrie Différentielle Catégoriques 45-1 (2004), 35-80 [Online]
- 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
- Universal properties of Span (with R. Paré and D. Pronk); Theor. Applic. Categories 13 (2004) [Online]
- On a "Singular" Integration Technique of Poisson; American Mathematical Monthly 112 (2005) 270-272 [Online]
- Differentiate early, differentiate often! College Math. Journal 36 (2005) 404-408[Online]
- Some new tilings of the sphere with congruent triangles, Renaissance Banff, Mathematics, Music, Art, Culture: Conference Proceedings (2005) 489-496
- Tilings of the sphere with right triangles I: the asymptotically right case (with B. Doyle) Electronic Journal of Combinatorics 13(1) (2006) #R48 [Online]
- 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]
- Paths in double categories (with R. Paré and D. Pronk) Theor. Applic. Categories 16(2006) 460-521 [Online]
- Crackpot angle bisectors! [Online] Mathematics Magazine 80 (2007) 59-64
- Čebyšev sets in hyperspaces over a Minkowski space (with A.Bogdewicz and M. Moszynska ) Glasnik Matematicki , 42 , No.1 (2007), 57-67
- Tilings of the sphere with right triangles III: the asymptotically obtuse case (with B. Doyle) Electronic Journal of Combinatorics 14(1) (2007) #R48 [Online]
- Čebyšev sets in hyperspaces (with M. Moszynska), Canadian Journal of Mathematics 61(2009) 299-314 [Online]
- Some Čebyšev sets with dimension d+1 in hyperspaces over Rd, Convex and Fractal Geometry, Banach Center Publications 84 (2009) 89-110 [Online]
- Your Name Here: The Evolution of Bryce's Commercial Arithmetic, Papers of the Bibliographical Society of Canada, 47 Spring 2009 5-44
- The Span construction (with R. Paré and D. Pronk.) Theor. Applic. Categories 24 (2010) 302-377 [Online]
- Monotone and Čebyšev arcs in hyperspaces. Jour. Geom. 98-1 (Aug. 2010) 1-19 [Online]
- How Significant is a Boxplot Outlier? Journal of Statistical Education, 19.2(2011), [Online]
- On a Probability Problem of Charles Dodgson, Jour. Rec. Math. 36(3) (2007) [2011] 198-204
- Arithmetic polygons American Mathematical Monthly, 119 (2012) 695-698
- On a Conjecture of Dey and De, Jour. Rec. Math. 37(1) (2008) [2012] 23-24
- Čebyšev sets in the hyperspace K1 (with S. Levy) Atl. Elect. Jour. Math 5(1)(2012), 1-15 [Online]
- The Logarithmic Compass (with P. Milici), Mathematical Intelligencer, 34 no. 4 (2012) 63-67
- Orbits and Locked Gimbals, Mathematical Intelligencer 35 no. 1 (2013) 67-70
- 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
- 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
- On some sequences related to the sums of powers, Journal of Integer Sequences 18.7.6 (2018)
- Rectification of Circular Arcs by Linkages (with P. Milici) Math. Intelligencer 42, 18–23 (2020). https://doi.org/10.1007/s00283-019-09912-9
- Partitioning the 5x5 array into partitions of circles, Contributions to Discrete Mathematics , to appear
Submitted papers
Unrefereed scholarly or educational publications:
- The "Unusual Episode" Data Revisited, Jour. Stat. Ed. 1995[Online]
- Light Traps (with B. E. McDonald, J. Mycielski, and L. Pachter), MIT LCS Technical Memo 560 (1996) [Online]
- Beyond the Comfort Zone, Teaching and Learning at Saint Mary's 6 , no. 1 (1996), 3--5
- Do We Need to Know This for the Exam?, Teaching and Learning at Saint Mary's 7, no. 3 (1997), 1--8
- Notes for Math 207 (Survey of Statistics) , SMU, 1998 (1999 edition revised with A. Almudevar), 158pp
- A peculiarity of the Wilcoxon-Mann-Whitney rank-sum test, SMU Math/CS Technical Report 2000-002 [Online]
- An isosceles triangle that tiles the sphere in exactly three ways, SMU Math/CS Technical Report 2000-005 [Online]
- Preparing for University Calculus (editor and
major author), APICS, 2000, 42pp [Online]
- Adjoints and Turing Machines, Proceedings of APICS Math/Stat and CS Joint Conference (with R. Paré and D. Pronk), 2001
- Real Men Lecture Unplugged, Teaching and Learning at Saint Mary's 13, no.1 (2002), 1-2
- The Atlantic High School Mathematics Curriculum: Implications for Universities (with M. Burke,
E. Goodaire, P. Gosse, and M. Tingley), APICS, 2002, 22pp [Online]
- Errata and Suggestions for Improvement in the Mathematical Modeling
Textbook Series (with D. Hamilton and M. Tingley), APICS, 2002, 43pp [Online]
- Errata and Suggestions for Improvement in the Constructing Mathematics
Textbook Series (with M. Tingley), 2003, 72pp [Online]
- Does the function y=x6/7 have a node at 0 ?, College Math Journal 35 (2004), "Fallacies, Flaws, and Flimflam" FF230 383-4
- Cheating: Can We Be Part of the Solution? A Response to Johnson, The Teaching Professor 19, June-July (2005) [Online]
- Putnam Proof Without Words [Online] Mathematics Magazine , April 2006 p.149
- Curiosum [Online] /What Is It? [Online] , Mathematical Intelligencer , 31 no.2 (2009), pp.7,57-58.
- Constrained optimization problems, chapter in course pack (16pp), 2009
- Let Me Take It Down (with J. Brown), CMS Notes 43-1 (Feb. 2011) 16-17 [Online]
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