Аннотация:
В статье доказывается, что скобка Кауфмана $[L]$ шахматно-раскрашиваемой диаграммы $L$ виртуального зацепления является специализацией многочлена Боллобаша–Риордана ленточного графа, ассоциированного с $L$. Этот результат обобщает широко известную теорему Тилстуэйта, связывающую скобку Кауфмана с многочленом Татта плоского графа.
Образец цитирования:
S. V. Chmutov, I. M. Pak, “The Kauffman bracket of virtual links and the Bollobás–Riordan polynomial”, Mosc. Math. J., 7:3 (2007), 409–418
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\by S.~V.~Chmutov, I.~M.~Pak
\paper The Kauffman bracket of virtual links and the Bollob\'as--Riordan polynomial
\jour Mosc. Math.~J.
\yr 2007
\vol 7
\issue 3
\pages 409--418
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\crossref{https://doi.org/10.17323/1609-4514-2007-7-3-409-418}
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https://www.mathnet.ru/rus/mmj288
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