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arXiv · 1006.4646

State Complexity of Two Combined Operations: Reversal-Catenation and Star-Catenation

Bo Cui·Yuan Gao·Lila Kari·Sheng Yu
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Abstract

In this paper, we show that, due to the structural properties of the resulting automaton obtained from a prior operation, the state complexity of a combined operation may not be equal but close to the mathematical composition of the state complexities of its component operations. In particular, we provide two witness combined operations: reversal combined with catenation and star combined with catenation.

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Bo Cui, Yuan Gao, Lila Kari, Sheng Yu. 2010-06-23. State Complexity of Two Combined Operations: Reversal-Catenation and Star-Catenation. https://arxiv.org/abs/1006.4646

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