On Straight Words and Minimal Permutators in Finite Transformation Semigroups

@inproceedings{EgriNagy2010OnSW,
  title={On Straight Words and Minimal Permutators in Finite Transformation Semigroups},
  author={A. Egri-Nagy and Chrystopher L. Nehaniv},
  booktitle={CIAA},
  year={2010}
}
Motivated by issues arising in computer science, we investigate the loop-free paths from the identity transformation and corresponding straight words in the Cayley graph of a finite transformation semigroup with a fixed generator set. Of special interest are words that permute a given subset of the state set. Certain such words, called minimal permutators, are shown to comprise a code, and the straight ones comprise a finite code. Thus, words that permute a given subset are uniquely… Expand
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