\newcount\pointnum \pointnum = 0 \setbox0\hbox{1111.\enspace} \newdimen\thehangindent \thehangindent=\wd0 \def\point{\par\global\advance\pointnum by 1 \noindent\hangindent \thehangindent \hbox to \thehangindent{\hfill\the\pointnum .\enspace}\ignorespaces} \section{The Bibliography} \frenchspacing \expandafter\ifx\csname url\endcsname\relax \def\url#1{#1}\fi \expandafter\ifx\csname urlprefix\endcsname\relax\def\urlprefix{}\fi \point S.~Abbasi and N.~Sheikh [2007], Some hardness results for question/answer games, {\em Integers, Electr. J of Combinat. Number Theory\/} {\bf 7}, \#G08, 29 pp., MR2342186. \newline\urlprefix\url{http://www.integers-ejcnt.org/vol7.html} \point B.~Abramson and M.~Yung [1989], Divide and conquer under global constraints: a solution to the $n$-queens problem, {\em J. Parallel Distrib. Comput.\/} {\bf 6}, 649--662. \point A.~Adachi, S.~Iwata and T.~Kasai [1981], Low level complexity for combinatorial games, {\em Proc. 13th Ann. ACM Symp. 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Number Theory\/} {\bf 4}, \#G1, 10 pp., Comb. Games Sect., MR2056015. \newline\urlprefix\url{http://www.integers-ejcnt.org/vol4.html} \point M.~Albert, R.~J. Nowakowski and D.~Wolfe [2007], {\em Lessons in Play: An Introduction to Combinatorial Game Theory\/}, A K Peters. \point R.~E. Allardice and A.~Y. Fraser [1884], La tour d'Hano\" {\i}, {\em Proc. Edinburgh Math. Soc.\/} {\bf 2}, 50--53. \point D.~T. Allemang [1984], Machine computation with finite games, M.Sc. Thesis, Cambridge University. \point D.~T. Allemang [2001], Generalized genus sequences for mis\`ere octal games, {\em Intern. J. Game Theory,\/} {\bf 30}, 539--556, MR1907264 (2003h:91003). \point J.~D. Allen [1989], A note on the computer solution of Connect-Four, {\em Heuristic Programming in Artificial Intelligence \emph{1:} The First Computer Olympiad\/} (D.~N.~L. Levy and D.~F. Beal, eds.), Ellis Horwood, Chichester, England, pp. 134--135. \point M.~R. 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Ferguson [1984], Mis\`ere annihilation games, {\em J. Combin. Theory \emph{(Ser.~A)}\/} {\bf 37}, 205--230. \point T.~S. Ferguson [1989], Who solved the secretary problem?, {\em Statistical Science\/} {\bf 4}, 282--296. \point T.~S. Ferguson [1992], Mate with bishop and knight in kriegspiel, {\em Theoret. Comput. Sci. \emph{(Math Games)}\/} {\bf 96}, 389--403. \point T.~S. Ferguson [1998], Some chip transfer games, {\em Theoret. Comp. Sci. \emph{(Math Games)}\/} {\bf 191}, 157--171. \point T.~S. Ferguson [2001], Another form of matrix Nim, {\em Electr. J. Combin.\/} {\bf 8(2)}, \#R9, 9 pp., Volume in honor of Aviezri S. Fraenkel, MR1853260 (2002g:91046). \newline\urlprefix\url{http://www.combinatorics.org/} \point A.~S. Finbow and B.~L. Hartnell [1983], A game related to covering by stars, {\em Ars Combinatoria\/} {\bf 16-A}, 189--198. \point A.~Fink and R.~Guy [2007], The Number-pad Game, {\em Coll. Math. J.\/} {\bf 38}, 260--264, MR2340919. \point M.~J. Fischer and R.~N. Wright [1993], An application of game-theoretic techniques to cryptography, {\em Advances in Computational Complexity Theory \emph{(New Brunswick, NJ, 1990), DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}\/}, Vol.~13, pp. 99--118. \point P.~C. Fishburn and N.~J.~A. Sloane [1989], The solution to Berlekamp's switching game, {\em Discrete Math.\/} {\bf 74}, 263--290. \point D.~C. Fisher and J.~Ryan [1992], Optimal strategies for a generalized ``scissors, paper, and stone" game, {\em Amer. Math. Monthly\/} {\bf 99}, 935--942. \point D.~C. Fisher and J.~Ryan [1995], Probabilities within optimal strategies for tournament games, {\em Discrete Appl. Math.\/} {\bf 56}, 87--91. \point D.~C. Fisher and J.~Ryan [1995], Tournament games and positive tournaments, {\em J. Graph Theory\/} {\bf 19}, 217--236. \point S.~L. Fitzpatrick and R.~J. Nowakowski [2001], Copnumber of graphs with strong isometric dimension two, {\em Ars Combin.\/} {\bf 59}, 65--73, MR1832198 (2002b:05053). \point G.~W. Flake and E.~B. Baum [2002], {\it Rush Hour\/} is PSPACE-complete, or "Why you should generously tip parking lot attendants", {\em Theoret. Comput. Sci. \emph{(Math Games)}\/} {\bf 270}, 895--911, MR1871102 (2002h:68068). \point A.~Flammenkamp [1996], Lange Perioden in Subtraktions-Spielen, Ph.D. Thesis, University of Bielefeld. \point A.~Flammenkamp, A.~Holshouser and H.~Reiter [2003], Dynamic one-pile blocking Nim, {\em Electr. J. Combinatorics\/} {\bf 10}, \#N4, 6 pp., MR1975777 (2004b:05027). \newline\urlprefix\url{http://www.combinatorics.org/} \point J.~A. Flanigan [1978], Generalized two-pile Fibonacci nim, {\em Fibonacci Quart.\/} {\bf 16}, 459--469. \point J.~A. Flanigan [1981], On the distribution of winning moves in random game trees, {\em Bull. Austr. Math. Soc.\/} {\bf 24}, 227--237. \point J.~A. Flanigan [1981], Selective sums of loopy partizan graph games, {\em Internat. J. Game Theory\/} {\bf 10}, 1--10. \point J.~A. Flanigan [1982], A complete analysis of black-white Hackendot, {\em Internat. J. Game Theory\/} {\bf 11}, 21--25. \point J.~A. Flanigan [1982], One-pile time and size dependent take-away games, {\em Fibonacci Quart.\/} {\bf 20}, 51--59. \point J.~A. Flanigan [1983], Slow joins of loopy games, {\em J. Combin. Theory \emph{(Ser.~A)}\/} {\bf 34}, 46--59. \point R.~Fleischer and G.~Trippen [2006], Kayles on the way to the stars, {\em Proc.\ 4th Intern.\ Conference on Computers and Games CG'2004\/} (H.~J. van~den Herik, Y.~Bj\"ornsson and N.~S. Netanyahu, eds.), Bar-Ilan University, Ramat-Gan, Israel, July 2004, Lecture Notes in Computer Science Vol. 3846, Springer, pp. 232--245. \point J.~O. Flynn [1973], Lion and man: the boundary constraint, {\em SIAM J. Control\/} {\bf 11}, 397--411. \point J.~O. Flynn [1974], Lion and man: the general case, {\em SIAM J. Control\/} {\bf 12}, 581--597. \point J.~O. Flynn [1974], Some results on max-min pursuit, {\em SIAM J. Control\/} {\bf 12}, 53--69. \point F.~V. Fomin [1998], Helicopter search problems, bandwidth and pathwidth, {\em Discrete Appl. Math.\/} {\bf 85}, 59--70. \point F.~V. Fomin [1999], Note on a helicopter search problem on graphs, {\em Discrete Appl. Math.\/} {\bf 95}, 241--249, Proc. Conf. on Optimal Discrete Structures and Algorithms --- ODSA '97 (Rostock). \point F.~V. Fomin and N.~N. Petrov [1996], Pursuit-evasion and search problems on graphs, {\em Congr. Numer.\/} {\bf 122}, 47--58, Proc. 27-th Southeastern Intern. Conf. on Combinatorics, Graph Theory and Computing (Baton Rouge, LA, 1996). \point L.~R. Foulds and D.~G. Johnson [1984], An application of graph theory and integer programming: chessboard non-attacking puzzles, {\em Math. Mag.\/} {\bf 57}, 95--104. \point A.~S. Fraenkel [1974], Combinatorial games with an annihilation rule, in: {\em The Influence of Computing on Mathematical Research and Education, {\rm Missoula MT, August 1973}, \emph{Proc. Symp. Appl. Math.,}\/} (J.~P. LaSalle, ed.), Vol.~20, Amer. Math. Soc., Providence, RI, pp. 87--91. \point A.~S. Fraenkel [1977], The particles and antiparticles game, {\em Comput. Math. Appl.\/} {\bf 3}, 327--328. \point A.~S. Fraenkel [1980], From Nim to Go, {\em Ann. Discrete Math.\/} {\bf 6}, 137--156, Proc. Symp. on Combinatorial Mathematics, Combinatorial Designs and Their Applications (J. Srivastava, ed.), Colorado State Univ., Fort Collins, CO, June 1978. \point A.~S. Fraenkel [1981], Planar kernel and Grundy with $d\leq 3$, $d_{out}\leq 2$, $d_{in}\leq 2$ are NP-complete, {\em Discrete Appl. Math.\/} {\bf 3}, 257--262. \point A.~S. Fraenkel [1982], How to beat your Wythoff games' opponent on three fronts, {\em Amer. Math. Monthly\/} {\bf 89}, 353--361. \point A.~S. Fraenkel [1983], 15 Research problems on games, {\em Discrete Math.\/} in "Research Problems" section, Vols. {\bf 43-46}. \point A.~S. Fraenkel [1984], Wythoff games, continued fractions, cedar trees and Fibonacci searches, {\em Theoret. Comput. Sci.\/} {\bf 29}, 49--73, an earlier version appeared in Proc. 10th Internat. Colloq. on Automata, Languages and Programming (J. Diaz, ed.), Vol. 154, Barcelona, July 1983, Lecture Notes in Computer Science, Springer Verlag, Berlin, 1983, pp. 203--225. \point A.~S. Fraenkel [1988], The complexity of chess, Letter to the Editor, {\em J. Recr. Math.\/} {\bf 20}, 13--14. \point A.~S. Fraenkel [1991], Complexity of games, in: {\em Combinatorial Games, \emph{Proc. Symp. Appl. Math.}\/} (R.~K. Guy, ed.), Vol.~43, Amer. Math. Soc., Providence, RI, pp. 111--153. \point A.~S. Fraenkel [1994], Even kernels, {\em Electr. J. Combinatorics\/} {\bf 1}, \#R5, 13 pp. \newline\urlprefix\url{http://www.combinatorics.org/} \point A.~S. Fraenkel [1994], Iterated floor function, algebraic numbers, discrete chaos, {B}eatty subsequences, semigroups, {\em Trans. Amer. Math. Soc.\/} {\bf 341}, 639--664, MR1138949 (94d:11011). \point A.~S. Fraenkel [1994], Recreation and depth in combinatorial games, in: {\em The Lighter Side of Mathematics, \emph{Proc. E. Strens Memorial Conf. on Recr. Math. and its History, Calgary, 1986, Spectrum Series}\/} (R.~K. Guy and R.~E. Woodrow, eds.), Math. Assoc. of America, Washington, DC, pp. 176--194. \point A.~S. Fraenkel [1996], Error-correcting codes derived from combinatorial games, in: {\em Games of No Chance, \emph{Proc. MSRI Workshop on Combinatorial Games, July, 1994, Berkeley, CA, MSRI Publ.}\/} (R.~J. Nowakowski, ed.), Vol.~29, Cambridge University Press, Cambridge, pp. 417--431. \point A.~S. Fraenkel [1996], Scenic trails ascending from sea-level Nim to alpine chess, in: {\em Games of No Chance, \emph{Proc. MSRI Workshop on Combinatorial Games, July, 1994, Berkeley, CA, MSRI Publ.}\/} (R.~J. Nowakowski, ed.), Vol.~29, Cambridge University Press, Cambridge, pp. 13--42. \point A.~S. Fraenkel [1997], Combinatorial game theory foundations applied to digraph kernels, {\em Electr. J. Combinatorics\/} {\bf 4}(2), \#R10, 17 pp., Volume in honor of Herbert Wilf. \newline\urlprefix\url{http://www.combinatorics.org/} \point A.~S. Fraenkel [1998], Heap games, numeration systems and sequences, {\em Ann. Comb.\/} {\bf 2}, 197--210, an earlier version appeared in: {\em Fun With Algorithms\/}, Vol.~4 of {\it Proceedings in Informatics\/} (E. Lodi, L. Pagli and N. Santoro, eds.), Carleton Scientific, University of Waterloo, Waterloo, Ont., pp. 99--113, 1999. Conference took place on the island of Elba, June 1998., MR1681514 (2000b:91001). \point A.~S. Fraenkel [1998], Multivision: an intractable impartial game with a linear winning strategy, {\em Amer. Math. Monthly\/} {\bf 105}, 923--928. \point A.~S. Fraenkel [2000], Recent results and questions in combinatorial game complexities, {\em Theoret. Comput. Sci.\/} {\bf 249}, 265--288, Conference version in: Proc. AWOCA98 --- Ninth Australasian Workshop on Combinatorial Algorithms, C.S. Iliopoulos, ed., Perth, Western Australia, 27--30 July, 1998, special AWOCA98 issue, pp. 124-146, MR1798313 (2001j:91033). \point A.~S. Fraenkel [2001], Virus versus mankind, {\em Proc.\ 2nd Intern.\ Conference on Computers and Games CG'2000\/} (T.~Marsland and I.~Frank, eds.), Vol. 2063, Hamamatsu, Japan, Oct.\ 2000, Lecture Notes in Computer Science, Springer, pp. 204--213. \point A.~S. Fraenkel [2002], Arrays, numeration systems and Frankenstein games, {\em Theoret. Comput. Sci.\/} {\bf 282}, 271--284, special`` Fun With Algorithms" issue, MR1909052 (2003h:91036). \point A.~S. Fraenkel [2002], Mathematical chats between two physicists, {\em {\rm in:} Puzzler's Tribute: a Feast for the Mind{\rm ,}\/} honoring Martin Gardner (D. Wolfe and T. Rodgers, eds.), A K Peters, Natick, MA, pp. 383-386. \point A.~S. Fraenkel [2002], Two-player games on cellular automata, in: {\em More Games of No Chance, \emph{Proc. MSRI Workshop on Combinatorial Games, July, 2000, Berkeley, CA, MSRI Publ.}\/} (R.~J. Nowakowski, ed.), Vol.~42, Cambridge University Press, Cambridge, pp. 279--306, MR1973018 (2004b:91004). \point A.~S. Fraenkel [2004], Complexity, appeal and challenges of combinatorial games, {\em Theoret. Comp. Sci.\/} {\bf 313}, 393--415, Expanded version of a keynote address at Dagstuhl Seminar ``Algorithmic Combinatorial Game Theory'', Feb. 2002, special issue on Algorithmic Combinatorial Game Theory, MR2056935. \point A.~S. Fraenkel [2004], New games related to old and new sequences, {\em Integers, Electr. J of Combinat. Number Theory\/} {\bf 4}, \#G6, 18 pp., Comb. Games Sect., 1st version in Proc.10-th Advances in Computer Games (ACG-10 Conf.), H. J. van den Herik, H. Iida and E. A. Heinz eds., Graz, Austria, Nov.\ 2003, Kluwer, pp. 367-382, MR2042724. \newline\urlprefix\url{http://www.integers-ejcnt.org/vol4.html} \point A.~S. Fraenkel [2005], Euclid and Wythoff games, {\em Discrete Math.\/} {\bf 304}, 65--68, MR2184445 (2006f:91006). \point A.~S. Fraenkel [2006], Nim is easy, chess is hard --- but why??, {\em J. Internat. Computer Games Assoc.\/} {\bf 29}(4), 203--206, earlier version appeared in Plus Mag. {\rm (}electronic{\rm )}, pluschat section,\hfill\break http://plus.maths.org/issue40/editorial/index.html. \point A.~S. Fraenkel [2007], {\em The Raleigh game, {\rm in: Combinatorial Number Theory}\/}, de Gruyter, pp. 199--208, Proc.\ Integers Conference, Carrollton, Georgia, October 27-30,2005, in celebration of the 70th birthday of Ronald Graham. B.\ Landman, M.\ Nathanson, J.\ Ne\v{s}et\v{r}il, R.\ Nowakowski, C. Pomerance eds., also appeared in {\it Integers, Electr.\ J.\ of Combinat.\ Number Theory\/} {\bf 7(2)}, special volume in honor of Ron Graham, \#A13, 11 pp., MR2337047 (2008e:91021). \newline\urlprefix\url{http://www.integers-ejcnt.org/vol7(2).html} \point A.~S. Fraenkel [2007], Why are games exciting and stimulating?, {\em Math Horizons\/} pp. 5--7; 32--33, special issue: ``Games, Gambling, and Magic" February. German translation by Niek Neuwahl, poster-displayed at traveling exhibition ``Games \& Science, Science \& Games'', opened in G\"{o}ttingen July 17 -- Aug 21, 2005. \point A.~S. Fraenkel [2008], Games played by Boole and Galois, {\em Discrete Appl. Math.\/} {\bf 156}, 420--427, **MR pending. \point A.~S. Fraenkel [2009], {\em The cyclic Butler University game, {\rm in: Mathematical Wizardry for a Gardner, Voulme honoring Martin Gardner}\/}, A K Peters, Natick, MA, E. Pegg Jr, A. H. Schoen, and T. Rodgers, eds., to appear. \point A.~S. Fraenkel and I.~Borosh [1973], A generalization of Wythoff's game, {\em J. Combin. Theory \emph{(Ser.~A)}\/} {\bf 15}, 175--191. \point A.~S. Fraenkel, M.~R. Garey, D.~S. Johnson, T.~Schaefer and Y.~Yesha [1978], The complexity of checkers on an $n\times n$ board --- preliminary report, {\em Proc. 19th Ann. Symp. Foundations of Computer Science \emph{(Ann Arbor, MI, Oct. 1978)}\/}, IEEE Computer Soc., Long Beach, CA, pp. 55--64. \point A.~S. Fraenkel and E.~Goldschmidt [1987], Pspace-hardness of some combinatorial games, {\em J. Combin. Theory \emph{(Ser.~A)}\/} {\bf 46}, 21--38. \point A.~S. Fraenkel and F.~Harary [1989], Geodetic contraction games on graphs, {\em Internat. J. Game Theory\/} {\bf 18}, 327--338. \point A.~S. Fraenkel and H.~Herda [1980], Never rush to be first in playing Nimbi, {\em Math. Mag.\/} {\bf 53}, 21--26. \point A.~S. Fraenkel, A.~Jaffray, A.~Kotzig and G.~Sabidussi [1995], Modular Nim, {\em Theoret. Comput. Sci. \emph{(Math Games)}\/} {\bf 143}, 319--333. \point A.~S. Fraenkel and C.~Kimberling [1994], Generalized {W}ythoff arrays, shuffles and interspersions, {\em Discrete Math.\/} {\bf 126}, 137--149, MR1264482 (95c:11028). \point A.~S. Fraenkel and A.~Kontorovich [2007], {\em The Sierpi\'{n}ski sieve of Nim-varieties and binomial coefficients, {\rm in: Combinatorial Number Theory}\/}, de Gruyter, pp. 209--227, Proc.\ Integers Conference, Carrollton, Georgia, October 27-30,2005, in celebration of the 70th birthday of Ronald Graham. B.\ Landman, M.\ Nathanson, J.\ Ne\v{s}et\v{r}il, R.\ Nowakowski, C. Pomerance eds., appeared also in {\it Integers, Electr.\ J.\ of Combinat.\ Number Theory\/} {\bf 7(2)}, special volume in honor of Ron Graham, \*A14, 19 pp., MR2337048. \newline\urlprefix\url{http://www.integers-ejcnt.org/vol7(2).html} \point A.~S. Fraenkel and A.~Kotzig [1987], Partizan octal games: partizan subtraction games, {\em Internat. J. Game Theory\/} {\bf 16}, 145--154. \point A.~S. Fraenkel and D.~Krieger [2004], The structure of complementary sets of integers: a 3-shift theorem, {\em Internat. J. Pure and Appl. Math.\/} {\bf 10}, 1--49, MR2020683 (2004h:05012). \point A.~S. Fraenkel and D.~Lichtenstein [1981], Computing a perfect strategy for $n\times n$ chess requires time exponential in $n$, {\em J. Combin. Theory \emph{(Ser.~A)}\/} {\bf 31}, 199--214, preliminary version in Proc. 8th Internat. Colloq. Automata, Languages and Programming (S. Even and O. Kariv, eds.), Vol. 115, Acre, Israel, 1981, Lecture Notes in Computer Science, Springer Verlag, Berlin, pp. 278--293, MR629595 (83b:68044). \point A.~S. Fraenkel, M.~Loebl and J.~Ne\v{s}et\v{r}il [1988], Epidemiography II.~Games with a dozing yet winning player, {\em J. Combin. Theory \emph{(Ser.~A)}\/} {\bf 49}, 129--144. \point A.~S. Fraenkel and M.~Lorberbom [1989], Epidemiography with various growth functions, {\em Discrete Appl. Math.\/} {\bf 25}, 53--71, special issue on Combinatorics and Complexity. \point A.~S. Fraenkel and M.~Lorberbom [1991], Nimhoff games, {\em J. Combin. Theory \emph{(Ser.~A)}\/} {\bf 58}, 1--25. \point A.~S. Fraenkel and J.~Ne\v{s}et\v{r}il [1985], Epidemiography, {\em Pacific J. Math.\/} {\bf 118}, 369--381. \point A.~S. Fraenkel and M.~Ozery [1998], Adjoining to Wythoff's game its $P$-positions as moves, {\em Theoret. Comput. Sci.\/} {\bf 205}, 283--296. \point A.~S. Fraenkel and Y.~Perl [1975], Constructions in combinatorial games with cycles, {\em Coll. Math. Soc. J\'anos Bolyai\/} {\bf 10}, 667--699, Proc. Internat. Colloq. on Infinite and Finite Sets, Vol.~2 (A. Hajnal, R. Rado and V. T. S\'os, eds.) Keszthely, Hungary, 1973, North-Holland. \point A.~S. Fraenkel and O.~Rahat [2001], Infinite cyclic impartial games, {\em Theoret. Comput. Sci.\/} {\bf 252}, 13--22, special "Computers and Games" issue; first version appeared in Proc. 1st Intern. Conf. on Computer Games CG'98, {\rm Tsukuba, Japan, Nov. 1998,} \emph{Lecture Notes in Computer Science}, Vol. 1558, Springer, pp. 212-221, 1999., MR1715689 (2000m:91028). \point A.~S. Fraenkel and O.~Rahat [2003], Complexity of error-correcting codes derived from combinatorial games, {\em Proc. Intern. Conference on Computers and Games CG'2002, Edmonton, Alberta, Canada, July 2002,\/} (Y.~Bj\"{o}rnsson, M.~M\"{u}ller and J.~Schaeffer, eds.), Vol. LNCS 2883, Lecture Notes in Computer Science, Springer, pp. 201--21. \point A.~S. Fraenkel and E.~Reisner [2008], The game of End-Wythoff, in: {\em Games of No Chance III, \emph{Proc. BIRS Workshop on Combinatorial Games, July, 2005, Banff, Alberta, Canada, MSRI Publ.}\/} (M.~H. Albert and R.~J. Nowakowski, eds.), Cambridge University Press, Cambridge. \point A.~S. Fraenkel and E.~R. Scheinerman [1991], A deletion game on hypergraphs, {\em Discrete Appl. Math.\/} {\bf 30}, 155--162. \point A.~S. Fraenkel, E.~R. Scheinerman and D.~Ullman [1993], Undirected edge geography, {\em Theoret. Comput. Sci. \emph{(Math Games)}\/} {\bf 112}, 371--381. \point A.~S. Fraenkel and S.~Simonson [1993], Geography, {\em Theoret. Comput. Sci. \emph{(Math Games)}\/} {\bf 110}, 197--214. \point A.~S. Fraenkel and U.~Tassa [1975], Strategy for a class of games with dynamic ties, {\em Comput. Math. Appl.\/} {\bf 1}, 237--254. \point A.~S. Fraenkel and U.~Tassa [1982], Strategies for compounds of partizan games, {\em Math. Proc. Camb. Phil. Soc.\/} {\bf 92}, 193--204. \point A.~S. Fraenkel, U.~Tassa and Y.~Yesha [1978], Three annihilation games, {\em Math. Mag.\/} {\bf 51}, 13--17, special issue on Recreational Math. \point A.~S. Fraenkel and Y.~Yesha [1976], Theory of annihilation games, {\em Bull. Amer. Math. Soc.\/} {\bf 82}, 775--777. \point A.~S. Fraenkel and Y.~Yesha [1979], Complexity of problems in games, graphs and algebraic equations, {\em Discrete Appl. Math.\/} {\bf 1}, 15--30. \point A.~S. Fraenkel and Y.~Yesha [1982], Theory of annihilation games --- I, {\em J. Combin. Theory \emph{(Ser.~B)}\/} {\bf 33}, 60--86. \point A.~S. Fraenkel and Y.~Yesha [1986], The generalized Sprague--Grundy function and its invariance under certain mappings, {\em J. Combin. Theory \emph{(Ser.~A)}\/} {\bf 43}, 165--177. \point A.~S. Fraenkel and D.~Zusman [2001], A new heap game, {\em Theoret. Comput. Sci.\/} {\bf 252}, 5--12, special "Computers and Games" issue; first version appeared in Proc. 1st Intern. Conf. on Computer Games CG'98, {\rm Tsukuba, Japan, Nov. 1998,} \emph{Lecture Notes in Computer Science}, Vol. 1558, Springer, pp. 205-211, 1999., MR1715688 (2000m:91027). \point C.~N. Frangakis [1981], A backtracking algorithm to generate all kernels of a directed graph, {\em Intern. J. Comput. Math.\/} {\bf 10}, 35--41. \point P.~Frankl [1987], Cops and robbers in graphs with large girth and Cayley graphs, {\em Discrete Appl. Math.\/} {\bf 17}, 301--305. \point P.~Frankl [1987], On a pursuit game on Cayley graphs, {\em Combinatorica\/} {\bf 7}, 67--70. \point P.~Frankl and N.~Tokushige [2003], The game of $n$-times nim, {\em Discrete Math.\/} {\bf 260}, 205--209, MR1948387 (2003m:05017). \point W.~Fraser, S.~Hirshberg and D.~Wolfe [2005], The structure of the distributive lattice of games born by day n, {\em Integers, Electr. J of Combinat. Number Theory\/} {\bf 5(2)}, \#A06, 11 pp., MR2192084 (2006g:91041). \newline\urlprefix\url{http://www.integers-ejcnt.org/vol5(2).html} \point D.~Fremlin [1973], Well-founded games, {\em Eureka\/} {\bf 36}, 33--37. \point G.~H. Fricke, S.~M. Hedetniemi, S.~T. Hedetniemi, A.~A. McRae, C.~K. Wallis, M.~S. Jacobson, H.~W. Martin and W.~D. Weakley [1995], Combinatorial problems on chessboards: a brief survey, in: {\em Graph Theory, Combinatorics, and Algorithms: \emph{Proc. 7th Quadrennial Internat. Conf. on the Theory and Applications of Graphs}\/} (Y.~Alavi and A.~Schwenk, eds.), Vol.~1, Wiley, pp. 507--528. \point E.~J. Friedman and A.~S. Landsberg [2007], Nonlinear dynamics in combinatorial games: renormalizing {C}homp, {\em Chaos\/} {\bf 17}(2), 023117 1--14, MR2340612. \point E.~J. Friedman and A.~S. Landsberg [2008], On the geometry of combinatorial games: a renormalization approach, in: {\em Games of No Chance III, \emph{Proc. BIRS Workshop on Combinatorial Games, July, 2005, Banff, Alberta, Canada, MSRI Publ.}\/} (M.~H. Albert and R.~J. Nowakowski, eds.), Cambridge University Press, Cambridge. \point A.~Frieze, M.~Krivelevich, O.~Pikhurko and T.~Szab{\'o} [2005], The game of {J}umble{G}, {\em Combin. Probab. Comput.\/} {\bf 14}, 783--793, MR2174656 (2006k:05207). \point M.~Fukuyama [2003], A Nim game played on graphs, {\em Theoret. Comput. Sci.\/} {\bf 304}, 387--399, MR1992342 (2004f:91041). \point M.~Fukuyama [2003], A Nim game played on graphs II, {\em Theoret. Comput. Sci.\/} {\bf 304}, 401--419, MR1992343 (2004g:91036). \point W.~W. Funkenbusch [1971], {SIM} as a game of chance, {\em J. Recr. Math.\/} {\bf 4}(4), 297--298. \point Z.~F\"uredi and {\'A}.~Seress [1994], Maximal triangle-free graphs with restrictions on the degrees, {\em J. Graph Theory\/} {\bf 18}, 11--24. \point H.~N. Gabow and H.~H. Westermann [1992], Forests, frames, and games: algorithms for matroid sums and applications, {\em Algorithmica\/} {\bf 7}, 465--497. \point D.~Gale [1974], A curious Nim-type game, {\em Amer. Math. Monthly\/} {\bf 81}, 876--879. \point D.~Gale [1979], The game of Hex and the Brouwer fixed-point theorem, {\em Amer. Math. Monthly\/} {\bf 86}, 818--827. \point D.~Gale [1986], Problem 1237 (line-drawing game), {\em Math. Mag.\/} {\bf 59}, 111, solution by J. Hutchinson and S. Wagon, {\it ibid.} {\bf 60} (1987) 116. \point D.~Gale [1991 -- 1996], Mathematical Entertainments, {\em Math. 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