کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
403067 677044 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Alexander–Conway polynomials of two-bridge links
ترجمه فارسی عنوان
در الکساندرا چند جمله ای کانوی از لینک های دو پل
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
چکیده انگلیسی

We consider Conway polynomials of two-bridge links as Euler continuant polynomials. As a consequence, we obtain new and elementary proofs of classical Murasugi's 1958 alternating theorem and Hartley's 1979 trapezoidal theorem. We give a modulo 2 congruence for links, which implies the classical Murasugi's 1971 congruence for knots. We also give sharp bounds for the coefficients of Euler continuants and deduce bounds for the Alexander polynomials of two-bridge links. These bounds improve and generalize those of Nakanishi–Suketa's 1996. We easily obtain some bounds for the roots of the Alexander polynomials of two-bridge links. This is a partial answer to Hoste's conjecture on the roots of Alexander polynomials of alternating knots.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 68, Part 2, May–June 2015, Pages 215–229
نویسندگان
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