Richard Guy

Professor Emeritus

Department of Mathematics and Statistics

MA

University of Cambridge, 1941

BA

University of Cambridge, 1938

Contact information

Phone

Office: 403.220.6314

Location

Office : MS415

Research and teaching

Research areas

  • Number Theory
  • Graph theory
  • Combinatorial geometry
  • Enumerative combinatorics
  • Combinatorial games

Publications

Book

  • Berlekamp, Elwyn R., Conway, John H. and Guy, Richard. Winning ways for your mathematical plays. {V}ol. 4 A K Peters Ltd., 2004. i-xvi and 801-1004. Print.
  • Berlekamp, Elwyn R., Conway, John H. and Guy, Richard. Winning ways for your mathematical plays. {V}ol. 2 A K Peters Ltd., 2003. i-xviii and 277-473. Print.
  • Berlekamp, Elwyn R., Conway, John H. and Guy, Richard. Winning ways for your mathematical plays. {V}ol. 3 A K Peters Ltd., 2003. i-xxii and 461-801. Print.
  • Guy, Richard and Nowakowski, Richard. Unsolved problems in combinatorial games 42. Cambridge Univ. Press, 2002. 457-473. Print.
  • Guy, Richard. My thanks to {E}rd{\H o}s {P}\'al 11. J\'anos Bolyai Math. Soc., 2002. 21-23. Print.
  • Vaderlind, Paul, Guy, Richard and Larson, Loren C.. The inquisitive problem solver , Mathematical Association of America, 2002. xvi+327. Print.
  • Guy, Richard. Forty-four years with {P}eter {L}ancaster 130. Birkh\"auser, 2002. 21-22. Print.
  • Berlekamp, Elwyn R., Conway, John H. and Guy, Richard. Winning ways for your mathematical plays. {V}ol. 1 A K Peters Ltd., 2001. xx+276. Print.
  • Guy, Richard. Conference problems session conducted by {J}. {L}. {S}elfridge 19. Amer. Math. Soc., 1999. 385-390. Print.
  • Guy, Richard. Unsolved problems in combinatorial games 29. Cambridge Univ. Press, 1996. 475-491. Print.
  • Guy, Richard. Impartial games 29. Cambridge Univ. Press, 1996. 61-78. Print.
  • Guy, Richard. What is a game? 29. Cambridge Univ. Press, 1996. 43-60. Print.
  • Conway, John H. and Guy, Richard. The book of numbers Copernicus, 1996. x+310. Print.
  • Guy, Richard. Combinatorial games Elsevier, 1995. 2117-2162. Print.
  • Guy, Richard. Unsolved problems in combinatorial games 329. Kluwer Acad. Publ., 1995. 161-179. Print.
  • Guy, Richard. The unity of combinatorics 329. Kluwer Acad. Publ., 1995. 129-159. Print.
  • Guy, Richard. Unsolved problems in number theory , Springer-Verlag, 1994. xvi+285. Print.
  • Guy, Andrew W. P. and Guy, Richard. A record aliquot sequence 48. Amer. Math. Soc., 1994. 557-559. Print.
  • Croft, Hallard T., Falconer, Kenneth J. and Guy, Richard. Unsolved problems in geometry , Springer-Verlag, 1994. xvi+198. Print.
  • Guy, Richard and Nowakowski, Richard. Mousetrap , J\'anos Bolyai Math. Soc., 1993. 193-206. Print.
  • Guy, Richard. Graphs and the strong law of small numbers , Wiley, 1991. 597-614. Print.
  • Guy, Richard. Mathematics from fun \& fun from mathematics: an informal autobiographical history of combinatorial games Springer, 1991. 287-295. Print.
  • Croft, Hallard T., Falconer, Kenneth J. and Guy, Richard. Unsolved problems in geometry , Springer-Verlag, 1991. xvi+198. Print.
  • Guy, Richard. Unsolved problems in combinatorial games 43. Amer. Math. Soc., 1991. 183-189. Print.
  • Guy, Richard. What is a game? 43. Amer. Math. Soc., 1991. 1-21. Print.
  • Guy, Richard. Impartial games 43. Amer. Math. Soc., 1991. 35-55. Print.
  • Guy, Richard and Nowakowski, Richard. The outerthickness \& outercoarseness of graphs. {II}. {T}he complete bipartite graph Bibliographisches Inst., 1990. 313-322. Print.
  • Guy, Richard. Canadian {N}umber {T}heory {A}ssociation unsolved problems 1988 de Gruyter, 1990. 193-206. Print.
  • Guy, Richard and Nowakowski, Richard. The outerthickness \& outercoarseness of graphs. {I}. {T}he complete graph \& the {$n$}-cube Physica, 1990. 297-310. Print.
  • Guy, Richard. Six phases for the eight-lambdas and eight-deltas configurations 48. North-Holland, 1987. 209-237. Print.
  • Berlekamp, Elwyn R., Conway, John H. and Guy, Richard. Gewinnen. {S}trategien f\"ur mathematische {S}piele Friedr. Vieweg \& Sohn, 1986. xvi+274. Print.
  • Berlekamp, Elwyn R., Conway, John H. and Guy, Richard. Gewinnen. {S}trategien f\"ur mathematische {S}piele Friedr. Vieweg \& Sohn, 1985. xiv+161. Print.
  • Guy, Richard. Graphs and games Academic Press, 1983. 269-295. Print.
  • Guy, Richard. Sets of integers whose subsets have distinct sums 60. North-Holland, 1982. 141-154. Print.
  • Berlekamp, Elwyn R., Conway, John H. and Guy, Richard. Winning ways for your mathematical plays. {V}ol. 2 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1982. i-xxxiii and 429-850 and i-xix. Print.
  • Berlekamp, Elwyn R., Conway, John H. and Guy, Richard. Winning ways for your mathematical plays. {V}ol. 1 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1982. xxxi+426+xi. Print.
  • Guy, Richard. Unsolved problems in number theory 1. Springer-Verlag, 1981. xviii+161. Print.
  • Guy, Richard. Partisan and impartial combinatorial games 18. North-Holland, 1978. 437-461. Print.
  • Guy, Richard. Aliquot sequences Academic Press, 1977. 111-118. Print.
  • Guy, Richard. Packing {$[1,n]$} with solutions of {$ax+by=cz$}. {T}he unity of combinatorics Accad. Naz. Lincei, 1976. 173-179. Atti dei Convegni Lincei, No. 17. Print.
  • Guy, Richard and Selfridge, J. L.. Optimal coverings of the square Colloq. Math. Soc. J\'anos Bolyai, Vol. 10, North-Holland, Amsterdam, 1975. 745-799. Print.
  • Guy, Richard. Outerthickness and outercoarseness of graphs London Math. Soc. Lecture Note Ser., No. 13, Cambridge Univ. Press, London, 1974. 57-60. Print.
  • Guy, Richard. Crossing numbers of graphs Lecture Notes in Math., Vol. 303, Springer, Berlin, 1972. 111-124. Print.
  • Guy, Richard. Latest results on crossing numbers Lecture Notes in Mathematics, Vol. 186. Springer, Berlin, 1971. 143-156. Print.
  • Guy, Richard. Unsolved combinatorial problems Academic Press, 1971. 121-127. Print.
  • Guy, Richard. Sequences associated with a problem of {T}ur\'an and other problems North-Holland, 1970. 553-569. Print.
  • Guy, Richard. Twenty odd questions in combinatorics Univ. North Carolina, 1970. 209-237. Print.
  • Guy, Richard. A many-facetted problem of {Z}arankiewicz Springer, 1969. 129-148. Print.
  • Guy, Richard. The decline and fall of {Z}arankiewicz's theorem Academic Press, 1969. 63-69. Print.
  • Guy, Richard. A problem of {Z}arankiewicz Academic Press, 1969. 237-243. Print.
  • Guy, Richard and Milner, E. C.. Covering graphs by complete subgraphs Academic Press, 1968. 151-159. Print.
  • Guy, Richard. A problem of {Z}arankiewicz Academic Press, 1968. 119-150. Print.
  • Guy, Richard and Milner, E. C.. Some coverings of sets Gordon and Breach, 1967. 143-146. Print.

Journal article

  • Guy, Richard. "Aviezri {F}raenkel and combinatorial games". Electronic Journal of Combinatorics 8.2 (2001): Introduction 2, 6 pp. (electronic). Print.
  • Bremner, Andrew, Goggins, Joseph R., Guy, Michael J. T. and Guy, Richard. "On rational {M}orley triangles". Acta Arithmetica 93.2 (2000): 177-187. Print.
  • Guy, Richard. "Catwalks, sandsteps and {P}ascal pyramids". Journal of Integer Sequences 3.1 (2000): Article 00.1.6, 1 HTML document (electronic). Print.
  • Guy, Richard. "Nothing's new in number theory?". The American Mathematical Monthly 105.10 (1998): 951-954. Print.
  • Guy, Richard. "Eric {C}harles {M}ilner: 1928-05-17 to 1997-07-20". Bulletin of the Institute of Combinatorics and its Applications 22. (1998): 10. Print.
  • Bremner, Andrew and Guy, Richard. "Two more representation problems". Proceedings of the Edinburgh Mathematical Society. Series II 40.1 (1997): 1-17. Print.
  • Conway, John H., Guy, Richard, Schneeberger, W. A. and Sloane, N. J. A.. "The primary pretenders". Acta Arithmetica 78.4 (1997): 307-313. Print.
  • Guy, Richard and Moser, William O. J.. "Numbers of subsequences without isolated odd members". The Fibonacci Quarterly. The Official Journal of the Fibonacci Association 34.2 (1996): 152-155. Print.
  • Guy, Richard. "My favorite elliptic curve: a tale of two types of triangles". The American Mathematical Monthly 102.9 (1995): 771-781. Print.
  • Guy, Richard and Nowakowski, Richard. "Monthly unsolved problems, 1969-1995". The American Mathematical Monthly 102.10 (1995): 921-926. Print.
  • Guy, Richard. "Every number is expressible as the sum of how many polygonal numbers?". The American Mathematical Monthly 101.2 (1994): 169-172. Print.
  • Bremner, Andrew, Guy, Richard and Nowakowski, Richard. "Which integers are representable as the product of the sum of three integers with the sum of their reciprocals?". Mathematics of Computation 61.203 (1993): 117-130. Print.
  • Bremner, Andrew and Guy, Richard. "Nu-configurations in tiling the square". Mathematics of Computation 59.199 (1992): 195-202, S1-S20. Print.
  • Guy, Richard, Krattenthaler, C. and Sagan, Bruce E.. "Lattice paths, reflections, \& dimension-changing bijections". Ars Combinatoria 34. (1992): 3-15. Print.
  • Sallows, Lee, Gardner, Martin, Guy, Richard and Knuth, Donald. "Serial isogons of {$90$} degrees". Mathematics Magazine 64.5 (1991): 315-324. Print.
  • Bremner, Andrew and Guy, Richard. "The delta-lambda configurations in tiling the square". Journal of Number Theory 32.3 (1989): 263-280. Print.
  • Guy, Richard. "The strong law of small numbers". The American Mathematical Monthly 95.8 (1988): 697-712. Print.
  • Eggleton, Roger B. and Guy, Richard. "Catalan strikes again! {H}ow likely is a function to be convex?". Mathematics Magazine 61.4 (1988): 211-219. Print.
  • Guy, Richard, Lacampagne, C. B. and Selfridge, J. L.. "Primes at a glance". Mathematics of Computation 48.177 (1987): 183-202. Print.
  • Matiyasevich, Yuri V. and Guy, Richard. "A new formula for {$\pi$}". The American Mathematical Monthly 93.8 (1986): 631-635. Print.
  • Guy, Richard. "John {I}sbell's game of beanstalk and {J}ohn {C}onway's game of beans-don't-talk". Mathematics Magazine 59.5 (1986): 259-269. Print.
  • Guy, Richard. "Conway's prime producing machine". Mathematics Magazine 56.1 (1983): 26-33. Print.
  • Bollob{\'a}s, B and Guy, Richard. "Equitable and proportional coloring of trees". Journal of Combinatorial Theory. Series B 34.2 (1983): 177-186. Print.
  • Guy, Richard. "John {H}orton {C}onway: mathematical magus". The Two-Year College Mathematics Journal 13.5 (1982): 290-299. Print.
  • Erd{\H{o}}s, P., Guy, Richard and Selfridge, J. L.. "Another property of {$239$} and some related questions". Congressus Numerantium. A Conference Journal on Numerical Themes 34. (1982): 243-257. Print.
  • Guy, Richard and Wunderlich, Marvin C.. "Computing unitary aliquot sequences-a preliminary report". , , (1980): 257-270. Print.
  • Guy, Richard and Selfridge, J. L.. "Corrigendum to: ``{W}hat drives an aliquot sequence?'' [{M}ath. {C}omp. {\bf 29} (1975), 101-107;\ {MR} {\bf 52} \#5542]". Mathematics of Computation 34.149 (1980): 319-321. Print.
  • Austin, Richard and Guy, Richard. "Binary sequences without isolated ones". The Fibonacci Quarterly. The Official Journal of the Fibonacci Association 16.1 (1978): 84-86. Print.
  • Devitt, J. S., Guy, Richard and Selfridge, J. L.. "Third report on aliquot sequences". , , (1977): 177-204. Print.
  • Guy, Richard. "How to factor a number". , (1976): 49-89. Congressus Numerantium, No. XVI. Print.
  • Guy, Richard and Ringel, Gerhard. "Triangular imbedding of {$K\sb{n}-K\sb{6}$}". J. Combinatorial Theory Ser. B 21.2 (1976): 140-145. Print.
  • Guy, Richard and Williams, M. R.. "Aliquot sequences near {$10\sp{12}$}". , (1975): 387-406. Print.
  • Guy, Richard and Selfridge, J. L.. "What drives an aliquot sequence?". Math. Comput. 29. (1975): 101-107. Print.
  • Guy, Richard. "Monthly research problems, 1969-75". The American Mathematical Monthly 82.10 (1975): 995-1004. Print.
  • Guy, Richard and Nowakowski, Richard. "Discovering primes with {E}uclid". Delta (Waukesha) 5.2 (1975): 49-63. Print.
  • Erd{\H{o}}s, P., Guy, Richard and Moon, J. W.. "On refining partitions". Journal of the London Mathematical Society. Second Series 9. (1974/75): 565-570. Print.
  • Guy, Richard, Lehmer, D. H., Selfridge, J. L. and Wunderlich, M. C.. "Second report on aliquot sequences". , (1974): 357-368. Print.
  • Guy, Richard and Shanks, Daniel. "A constructed solution of {$\sigma (n)=\sigma (n+1)$}". The Fibonacci Quarterly. The Official Journal of the Fibonacci Association 12. (1974): 299. Print.
  • Guy, Richard and Hill, Anthony. "The crossing number of the complement of a circuit". Discrete Math. 5. (1973): 335-344. Print.
  • Guy, Richard. "A theorem in elementary geometry". Bull. Singapore Math. Soc., (1973): 11-12. Print.
  • Erd{\H{o}}s, P. and Guy, Richard. "Crossing number problems". The American Mathematical Monthly 80. (1973): 52-58. Print.
  • Guy, Richard and Selfridge, J. L.. "The nesting and roosting habits of the laddered parenthesis". The American Mathematical Monthly 80. (1973): 868-876. Print.
  • Guy, Richard and Youngs, J. W. T.. "A smooth and unified proof of cases {$6$}, {$5$} and {$3$} of the {R}ingel-{Y}oungs theorem". J. Combinatorial Theory Ser. B 15. (1973): 1-11. Print.
  • Guy, Richard. "The slimming number and genus of graphs". Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques 15. (1972): 195-200. Print.
  • Guy, Richard and Selfridge, J. L.. "Interim report on aliquot series". , (1971): 557-580. Print.
  • Selfridge, J. L. and Guy, Richard. "Primality testing with application to small machines". , (1971): 45-51. Print.
  • Erd{\H{o}}s, P. and Guy, Richard. "Distinct distances between lattice points". Elemente der Mathematik. Eine Zeitschrift der Schweizerischen Mathematischen Gesellschaft. Une Revue de la Soci\'et\'e Math\'ematique Suisse. Una Rivista della Societ\`a Matematica Svizzera 25. (1970): 121-123. Print.
  • Guy, Richard and Jenkyns, T. A.. "The toroidal crossing number of {$K\sb{m,n}$}". J. Combinatorial Theory 6. (1969): 235-250. Print.
  • Guy, Richard. "The primes {$1093$} and {$3511$}". Math. Student 35. (1969): 204-206 (1969). Print.
  • Beineke, Lowell W. and Guy, Richard. "The coarseness of the complete bipartite graph". Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques 21. (1969): 1086-1096. Print.
  • Guy, Richard, Jenkyns, Tom and Schaer, Jonathan. "The toroidal crossing number of the complete graph". J. Combinatorial Theory 4. (1968): 376-390. Print.
  • Guy, Richard and Kelly, Patrick A.. "The no-three-in-line problem". Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques 11. (1968): 527-531. Print.
  • Guy, Richard and Beineke, Lowell W.. "The coarseness of the complete graph". Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques 20. (1968): 888-894. Print.
  • Guy, Richard and Milner, E. C.. "Graphs defined by coverings of a set". Acta Math. Acad. Sci. Hungar. 19. (1968): 7-21. Print.
  • Guy, Richard. "A coarseness conjecture of {E}rd{\H o}s". J. Combinatorial Theory 3. (1967): 38-42. Print.
  • Guy, Richard and Harary, Frank. "On the {M}\"obius ladders". Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques 10. (1967): 493-496. Print.
  • Guy, Richard. "Two theorems on partitions". Math. Gaz. 42. (1958): 84-86. Print.
  • Guy, Richard and Smith, Cedric A. B.. "The {$G$}-values of various games". Proc. Cambridge Philos. Soc. 52. (1956): 514-526. Print.

Preprint

  • Guy, Richard. "The Lighthouse Theorem - A Budget of Paradoxes." Print.