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math.CO2012
Simplified numerical form of universal finite type invariant of Gauss words
Tomonori Fukunaga, Takayuki Yamaguchi, Takaaki Yamanoi
In the present paper, we study the finite type invariants of Gauss words. In the Polyak algebra techniques, we reduce the determination of the group structure to transformation of…
math.CO2009★ 1 cited
Homotopy Classification of Generalized Phrases in Turaev's Theory of Words
Tomonori Fukunaga
In 2005 V. Turaev introduced the theory of topology of words and phrases. Turaev defined an equivalence relation on generalized words and phrases which is called homotopy. This is…