Art of Computer Programming, Volume 4A, The: Combinatorial Algorithms, Part 1

Answers to Exercises

Answer not a fool according to his folly,lest thou also be like unto him.

— Proverbs 26:4

Notes on the Exercises

1. A moderately easy problem for a mathematically inclined reader.

2. The author will reward you if you are first to report an error in the statement of an exercise or in its answer, assuming that he or she is suitably sagacious.

3. See H. Poincaré, Rendiconti del Circolo Matematico di Palermo 18 (1904), 45–110; R. H. Bing, Annals of Math. (2) 68 (1958), 17–37; G. Perelman, arXiv:math/0211159 [math.DG] (2002), 39 pages; 0303109 and 0307245 [math.DG] (2003), 22 + 7 pages.

Section 7

1. Following the hint, we’ll want the second ‘4m−4’ to be immediately followed by the first ‘2m – 1’. The desired arrangements can ...