Minimal Circular Strings 


Vol. 5,  No. 9, pp. 2415-2420, Sep.  1998
10.3745/KIPSTE.1998.5.9.2415


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  Abstract

We present a linear time algorithm for finding a lexicographically minimal circular string in a given string. The problem was motivated by an effort to implement state transition functions in isotropic cellular automata. A native algorithm for the problem would require quadratic time. The proposed algorithm runs in linear time by keeping the result of comparisons of substrings and reusing it afterwards when the same computation is needed.

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  Cite this article

[IEEE Style]

W. K. Bum and Y. H. Jin, "Minimal Circular Strings," The Transactions of the Korea Information Processing Society (1994 ~ 2000), vol. 5, no. 9, pp. 2415-2420, 1998. DOI: 10.3745/KIPSTE.1998.5.9.2415.

[ACM Style]

Wee Kyun Bum and Yeh Hong Jin. 1998. Minimal Circular Strings. The Transactions of the Korea Information Processing Society (1994 ~ 2000), 5, 9, (1998), 2415-2420. DOI: 10.3745/KIPSTE.1998.5.9.2415.