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An efficient algorithm for the Knight's tour problem

✍ Scribed by Ian Parberry


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
715 KB
Volume
73
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.

✦ Synopsis


It is easy to see that there is no closed knight's tour when n is odd since such a board has one more white square than black, or vice versa, and since the colours of the squares visited on a knight's tour must alternate.


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An Efficient Algorithm for the Complex R
✍ C.Andrew Neff; John H. Reif πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 406 KB

Given a univariate polynomial f (z) of degree n with complex coefficients, whose norms are less than 2 m in magnitude, the root problem is to find all the roots of f (z) up to specified precision 2 ΟͺȐ . Assuming the arithmetic model for computation, we provide an algorithm which has complexity O(n l