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A.A. Da E.D. Asuquo 《清华大学学报》2007,12(4):485-492
In this paper, we mainly study the relation of two cyclically reduced words w and w ′on the condi- tion they have the same trace polynomial (i.e., tr w= trw ′). By defining an equivalence relation through such operators on words as inverse, cyclically left shift, and mirror, it is straightforward to get that w ~ w ′ implies tr w = tr w ′. We show by a counter example that tr w = tr w ′ does not imply w ~ w ′. And in two special cases, we prove that tr w = tr w ′ if and only if w ~ w ′. 相似文献
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