@article{WANG2007, 
author = {Guizhen WANG},
title = {A Note on Trace Polynomial},
year = {2007},
journal = {Tsinghua Science and Technology},
volume = {12},
number = {4},
pages = {479-484},
keywords = {cyclically reduced word, trace polynomial, equivalence},
url = {https://www.sciopen.com/article/10.1016/S1007-0214(07)70071-8},
doi = {10.1016/S1007-0214(07)70071-8},
abstract = {In this paper, we mainly study the relation of two cyclically reduced words w and w' on the condition they have the same trace polynomial (i.e., tr w=tr w'). 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'.}
}