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Richard Guy

photograph of Richard Guy

Job Title:

  • Professor Emeritus
  • Faculty Professor

Phone:

  • +1 (403) 220-6314

Office:

  • MS 415

Email:

Degrees:

Research Interests:

  • Combinatorial games
  • Enumerative combinatorics
  • Graph theory
  • Combinatorial geometry
  • Number Theory
Representative Publications:
Preprint
Guy, Richard . The Lighthouse Theorem - A Budget of Paradoxes.
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
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
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
Guy, Richard . "Forty-four years with {P}eter {L}ancaster" Integral Equations and Operator Theory, 130, Birkh\"auser (2002): 21-22
Guy, Richard and Nowakowski, Richard. Unsolved problems in combinatorial games 42, Cambridge Univ. Press (2002): 457-473
Guy, Richard . My thanks to {E}rd{\H o}s {P}\'al 11, J\'anos Bolyai Math. Soc. (2002): 21-23
Vaderlind, Paul , Guy, Richard and Larson, Loren C. The inquisitive problem solver , Mathematical Association of America (2002): xvi+327
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
Guy, Richard . Conference problems session conducted by {J}. {L}. {S}elfridge 19, Amer. Math. Soc. (1999): 385-390
Guy, Richard . Unsolved problems in combinatorial games 29, Cambridge Univ. Press (1996): 475-491
Guy, Richard . Impartial games 29, Cambridge Univ. Press (1996): 61-78
Guy, Richard . What is a game? 29, Cambridge Univ. Press (1996): 43-60
Conway, John H. and Guy, Richard . The book of numbers Copernicus (1996): x+310
Guy, Richard . Combinatorial games Elsevier (1995): 2117-2162
Guy, Richard . Unsolved problems in combinatorial games 329, Kluwer Acad. Publ. (1995): 161-179
Guy, Richard . The unity of combinatorics 329, Kluwer Acad. Publ. (1995): 129-159
Croft, Hallard T., Falconer, Kenneth J. and Guy, Richard . Unsolved problems in geometry , Springer-Verlag (1994): xvi+198
Guy, Andrew W. P. and Guy, Richard . A record aliquot sequence 48, Amer. Math. Soc. (1994): 557-559
Guy, Richard . Unsolved problems in number theory , Springer-Verlag (1994): xvi+285
Guy, Richard and Nowakowski, Richard. Mousetrap , J\'anos Bolyai Math. Soc. (1993): 193-206
Guy, Richard . Graphs and the strong law of small numbers , Wiley (1991): 597-614
Guy, Richard . Mathematics from fun \& fun from mathematics: an informal autobiographical history of combinatorial games Springer (1991): 287-295
Croft, Hallard T., Falconer, Kenneth J. and Guy, Richard . Unsolved problems in geometry , Springer-Verlag (1991): xvi+198
Guy, Richard . Unsolved problems in combinatorial games 43, Amer. Math. Soc. (1991): 183-189
Guy, Richard . Impartial games 43, Amer. Math. Soc. (1991): 35-55
Guy, Richard . What is a game? 43, Amer. Math. Soc. (1991): 1-21
Guy, Richard and Nowakowski, Richard. The outerthickness \& outercoarseness of graphs. {II}. {T}he complete bipartite graph Bibliographisches Inst. (1990): 313-322
Guy, Richard . Canadian {N}umber {T}heory {A}ssociation unsolved problems 1988 de Gruyter (1990): 193-206
Guy, Richard and Nowakowski, Richard. The outerthickness \& outercoarseness of graphs. {I}. {T}he complete graph \& the {$n$}-cube Physica (1990): 297-310
Guy, Richard . Six phases for the eight-lambdas and eight-deltas configurations 48, North-Holland (1987): 209-237
Berlekamp, Elwyn R., Conway, John H. and Guy, Richard . Gewinnen. {S}trategien f\"ur mathematische {S}piele Friedr. Vieweg \& Sohn (1986): xvi+274
Berlekamp, Elwyn R., Conway, John H. and Guy, Richard . Gewinnen. {S}trategien f\"ur mathematische {S}piele Friedr. Vieweg \& Sohn (1986): xvi+178
Berlekamp, Elwyn R., Conway, John H. and Guy, Richard . Gewinnen. {S}trategien f\"ur mathematische {S}piele Friedr. Vieweg \& Sohn (1985): xiv+161
Berlekamp, Elwyn R., Conway, John H. and Guy, Richard . Gewinnen. {S}trategien f\"ur mathematische {S}piele Friedr. Vieweg \& Sohn (1985): xvi+262
Guy, Richard . Graphs and games Academic Press (1983): 269-295
Guy, Richard . Sets of integers whose subsets have distinct sums 60, North-Holland (1982): 141-154
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
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
Guy, Richard . Unsolved problems in number theory 1, Springer-Verlag (1981): xviii+161
Guy, Richard . Partisan and impartial combinatorial games 18, North-Holland (1978): 437-461
Guy, Richard . Aliquot sequences Academic Press (1977): 111-118
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
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
Guy, Richard . Outerthickness and outercoarseness of graphs London Math. Soc. Lecture Note Ser., No. 13, Cambridge Univ. Press, London (1974): 57-60
Guy, Richard . Crossing numbers of graphs Lecture Notes in Math., Vol. 303, Springer, Berlin (1972): 111-124
Guy, Richard . Latest results on crossing numbers Lecture Notes in Mathematics, Vol. 186. Springer, Berlin (1971): 143-156
Guy, Richard . Unsolved combinatorial problems Academic Press (1971): 121-127
Guy, Richard . Sequences associated with a problem of {T}ur\'an and other problems North-Holland (1970): 553-569
Guy, Richard . Twenty odd questions in combinatorics Univ. North Carolina (1970): 209-237
Guy, Richard . A problem of {Z}arankiewicz Academic Press (1969): 237-243
Guy, Richard . A many-facetted problem of {Z}arankiewicz Springer (1969): 129-148
Guy, Richard . The decline and fall of {Z}arankiewicz's theorem Academic Press (1969): 63-69
Guy, Richard . A problem of {Z}arankiewicz Academic Press (1968): 119-150
Guy, Richard and Milner, E. C. Covering graphs by complete subgraphs Academic Press (1968): 151-159
Guy, Richard and Milner, E. C. Some coverings of sets Gordon and Breach (1967): 143-146
Journal Paper
Guy, Richard . "Aviezri {F}raenkel and combinatorial games" Electronic Journal of Combinatorics 8.2 (2001): Introduction 2, 6 pp. (electronic)
Bremner, Andrew , Goggins, Joseph R., Guy, Michael J. T. and Guy, Richard . "On rational {M}orley triangles" Acta Arithmetica 93.2 (2000): 177-187
Guy, Richard . "Catwalks, sandsteps and {P}ascal pyramids" Journal of Integer Sequences 3.1 (2000): Article 00.1.6, 1 HTML document (electronic)
Guy, Richard . "Nothing's new in number theory?" The American Mathematical Monthly 105.10 (1998): 951-954
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
Conway, John H., Guy, Richard , Schneeberger, W. A. and Sloane, N. J. A. "The primary pretenders" Acta Arithmetica 78.4 (1997): 307-313
Bremner, Andrew and Guy, Richard . "Two more representation problems" Proceedings of the Edinburgh Mathematical Society. Series II 40.1 (1997): 1-17
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
Guy, Richard and Nowakowski, Richard. "Monthly unsolved problems, 1969-1995" The American Mathematical Monthly 102.10 (1995): 921-926
Guy, Richard . "My favorite elliptic curve: a tale of two types of triangles" The American Mathematical Monthly 102.9 (1995): 771-781
Guy, Richard . "Every number is expressible as the sum of how many polygonal numbers?" The American Mathematical Monthly 101.2 (1994): 169-172
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
Guy, Richard , Krattenthaler, C. and Sagan, Bruce E. "Lattice paths, reflections, \& dimension-changing bijections" Ars Combinatoria 34 (1992): 3-15
Bremner, Andrew and Guy, Richard . "Nu-configurations in tiling the square" Mathematics of Computation 59.199 (1992): 195-202, S1-S20
Sallows, Lee , Gardner, Martin , Guy, Richard and Knuth, Donald . "Serial isogons of {$90$} degrees" Mathematics Magazine 64.5 (1991): 315-324
Bremner, Andrew and Guy, Richard . "The delta-lambda configurations in tiling the square" Journal of Number Theory 32.3 (1989): 263-280
Guy, Richard . "The strong law of small numbers" The American Mathematical Monthly 95.8 (1988): 697-712
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
Guy, Richard , Lacampagne, C. B. and Selfridge, J. L. "Primes at a glance" Mathematics of Computation 48.177 (1987): 183-202
Matiyasevich, Yuri V. and Guy, Richard . "A new formula for {$\pi$}" The American Mathematical Monthly 93.8 (1986): 631-635
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
Bollob{\'a}s, B and Guy, Richard . "Equitable and proportional coloring of trees" Journal of Combinatorial Theory. Series B 34.2 (1983): 177-186
Guy, Richard . "Conway's prime producing machine" Mathematics Magazine 56.1 (1983): 26-33
Guy, Richard . "John {H}orton {C}onway: mathematical magus" The Two-Year College Mathematics Journal 13.5 (1982): 290-299
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
Guy, Richard and Wunderlich, Marvin C. Computing unitary aliquot sequences-a preliminary report (1980): 257-270
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
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
Devitt, J. S., Guy, Richard and Selfridge, J. L. Third report on aliquot sequences (1977): 177-204
Guy, Richard and Ringel, Gerhard . "Triangular imbedding of {$K\sb{n}-K\sb{6}$}" J. Combinatorial Theory Ser. B 21.2 (1976): 140-145
Guy, Richard . How to factor a number (1976): 49-89. Congressus Numerantium, No. XVI
Guy, Richard . "Monthly research problems, 1969-75" The American Mathematical Monthly 82.10 (1975): 995-1004
Guy, Richard and Nowakowski, Richard. "Discovering primes with {E}uclid" Delta (Waukesha) 5.2 (1975): 49-63
Guy, Richard and Selfridge, J. L. "What drives an aliquot sequence?" Math. Comput. 29 (1975): 101-107
Guy, Richard and Williams, M. R. Aliquot sequences near {$10\sp{12}$} (1975): 387-406
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
Guy, Richard , Lehmer, D. H., Selfridge, J. L. and Wunderlich, M. C. Second report on aliquot sequences (1974): 357-368
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
Erd{\H{o}}s, P. and Guy, Richard . "Crossing number problems" The American Mathematical Monthly 80 (1973): 52-58
Guy, Richard . "A theorem in elementary geometry" Bull. Singapore Math. Soc. (1973): 11-12
Guy, Richard and Selfridge, J. L. "The nesting and roosting habits of the laddered parenthesis" The American Mathematical Monthly 80 (1973): 868-876
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
Guy, Richard and Hill, Anthony . "The crossing number of the complement of a circuit" Discrete Math. 5 (1973): 335-344
Guy, Richard . "The slimming number and genus of graphs" Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques 15 (1972): 195-200
Guy, Richard and Selfridge, J. L. Interim report on aliquot series (1971): 557-580
Selfridge, J. L. and Guy, Richard . Primality testing with application to small machines (1971): 45-51
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
Guy, Richard . "The primes {$1093$} and {$3511$}" Math. Student 35 (1969): 204-206 (1969)
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
Guy, Richard and Jenkyns, T. A. "The toroidal crossing number of {$K\sb{m,n}$}" J. Combinatorial Theory 6 (1969): 235-250
Guy, Richard , Jenkyns, Tom and Schaer, Jonathan. "The toroidal crossing number of the complete graph" J. Combinatorial Theory 4 (1968): 376-390
Guy, Richard and Kelly, Patrick A. "The no-three-in-line problem" Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques 11 (1968): 527-531
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
Guy, Richard and Milner, E. C. "Graphs defined by coverings of a set" Acta Math. Acad. Sci. Hungar. 19 (1968): 7-21
Guy, Richard and Harary, Frank . "On the {M}\"obius ladders" Mat. Lapok 18 (1967): 59-60
Guy, Richard and Harary, Frank . "On the {M}\"obius ladders" Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques 10 (1967): 493-496
Guy, Richard . "A coarseness conjecture of {E}rd{\H o}s" J. Combinatorial Theory 3 (1967): 38-42
Guy, Richard . "Two theorems on partitions" Math. Gaz. 42 (1958): 84-86
Guy, Richard and Smith, Cedric A. B. "The {$G$}-values of various games" Proc. Cambridge Philos. Soc. 52 (1956): 514-526

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