WORDS GUARANTEEING MINIMUM IMAGE

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Words Guaranteeing Minimum Image

Given a positive integer n and a finite alphabet Σ, a word w over Σ is said to guarantee minimum image if, for every homomorphism φ from the free monoid Σ∗ over Σ into the monoid of all transformations of an n-element set, the range of the transformation wφ has the minimum cardinality among the ranges of all transformations of the form vφ where v runs over Σ∗ . Although the existence of words g...

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ژورنال

عنوان ژورنال: International Journal of Foundations of Computer Science

سال: 2004

ISSN: 0129-0541,1793-6373

DOI: 10.1142/s0129054104002406