Art of Computer Programming, The: Mathematical Preliminaries Redux; Introduction to Backtracking; Dancing Links, Volume 4, Fascicle 5

Art of Computer Programming, The: Mathematical Preliminaries Redux; Introduction to Backtracking; Dancing Links, Volume 4, Fascicle 5
Art of Computer Programming, The: Mathematical Preliminaries Redux; Introduction to Backtracking; Dancing Links, Volume 4, Fascicle 5
Art of Computer Programming, The: Mathematical Preliminaries Redux; Introduction to Backtracking; Dancing Links, Volume 4, Fascicle 5
Art of Computer Programming, The: Mathematical Preliminaries Redux; Introduction to Backtracking; Dancing Links, Volume 4, Fascicle 5

Key features

  • Mathematical Preliminaries.  Knuth writes that this portion of fascicle 5 "extends the ‘Mathematical Preliminaries’ of Section 1.2 in Volume 1 to things that I didn't know about in the 1960s. Most of this new material deals with probabilities and expectations of random events; there's also an introduction to the theory of martingales."
  • Backtracking: this section is the counterpart to section 7.2.1 which covered the generation of basic combinatorial patterns.  This section covers non-basic patterns, ones where the developer needs to make tentative choices and then may need to backtrack when those choices need revision.
  • Dancing Links: this section is related to 2 above.  It develops an important data structure technique that is suitable for backtrack programming described above.

Art of Computer Programming, The: Mathematical Preliminaries Redux; Introduction to Backtracking; Dancing Links, Volume 4, Fascicle 5

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