14 citations · 23 across the 18 of their papers we have counts for
20 papers
On representations of the triplet group and some of its extensions
Mohamad N. Nasser, Nafaa Chbili, Khaled Qazaqzeh
In this paper, we study the representations of the triplet group , where is a positive integer, together with their extensions to the virtual and welded triplet groups $VL…
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…
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,…
Twisting Some Classes of Links
Khaled Qazaqzeh, Ahmad Al-Rhayyel
We apply the twisting technique that was first introduced in \cite{CK} and later generalized in \cite{QCQ} to obtain an infinite family of adequate, homogeneous or alternative link…
Jones Polynomial versus Determinant of Quasi-Alternating Links
Khaled Qazaqzeh
We prove that there are only finitely many values of the Jones polynomial of quasi-alternating links of a given determinant. Consequently, we prove that there are only finitely man…