14 citations · 23 across the 21 of their papers we have counts for
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A characterization of adequate Turaev genus one links
Khaled Qazaqzeh, Nafaa Chbili, Adam M. Lowrance
We prove that a link is adequate and has Turaev genus one if and only if the span of its Jones polynomial is one less than its crossing number.
A Simple Characterization of Adequate Links
Khaled Qazaqzeh, Nafaa Chbili
We prove that the Jones diameter of a link is twice its crossing number whenever the breadth of its Jones polynomial equals the difference between the crossing number and the Turae…
Extensions of braid group representations to the monoid of singular braids
Valeriy G. Bardakov, Nafaa Chbili, Tatyana A. Kozlovskaya
Given a representation of the braid group , into a group , we are considering the problem of whether it is possible to extend this repres…
Alexander Polynomials of closed alternating braids
Mark E. AlSukaiti, Nafaa Chbili
We prove that the Alexander polynomials of certain families of alternating 4-braid knots satisfy Fox's Trapezoidal Conjecture. Moreover, we give explicit formulas for the signature…
On the Jones polynomial of quasi-alternating links, II
Khaled Qazaqzeh, Ahmad Al-Rhayyel, Nafaa Chbili
We extend a result of Thistlethwaite [17, Theorem 1(iv)] on the structure of the Jones polynomial of alternating links to the wider class of quasi-alternating links. In particular,…
Alexander and Jones Polynomials of weaving 3-braid links and Whitney rank polynomials of Lucas lattice
Mark E. AlSukaiti, Nafaa Chbili
We establish a relationship between the Jones polynomial of generalized weaving knots of type and the Chebyshev polynomial of the first kind. Consequently, we prove that…