The Dancing Links algorithm solving a polycube puzzle
In computer science, dancing links (DLX) is a technique for adding and deleting a node from a circular doubly linked list. It is particularly useful for efficiently implementing backtracking algorithms, such as Knuth's Algorithm X for the exact cover problem.[1] Algorithm X is a recursive, nondeterministic, depth-first, backtracking algorithm that finds all solutions to the exact cover problem. Some of the better-known exact cover problems include tiling, the n queens problem, and Sudoku.
The name dancing links, which was suggested by Donald Knuth, stems from the way the algorithm works, as iterations of the algorithm cause the links to "dance" with partner links so as to resemble an "exquisitely choreographed dance." Knuth credits Hiroshi Hitotsumatsu and Kōhei Noshita with having invented the idea in 1979,[2] but it is his paper which has popularized it.
^Knuth, Donald E. (2000). "Dancing links". Millennial Perspectives in Computer Science. P159. 187. arXiv:cs/0011047. Bibcode:2000cs.......11047K.
^Hitotumatu, Hirosi; Noshita, Kohei (30 April 1979). "A Technique for Implementing Backtrack Algorithms and its Application". Information Processing Letters. 8 (4): 174–175. doi:10.1016/0020-0190(79)90016-4.(subscription required)
In computer science, dancinglinks (DLX) is a technique for adding and deleting a node from a circular doubly linked list. It is particularly useful for...
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