5 papers
On Alternateness of the Jones-Kauffman Polynomial of Virtual Links
Hamid Abchir, Khaled Qazaqzeh, Mohammed Sabak
We study alternateness of the Jones-Kauffman polynomial of virtual links. In particular, we identify a class of virtual links with alternating Jones-Kauffman polynomial that will b…
A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs
Hamid Abchir, Khaled Qazaqzeh, Mohammed Sabak
We assign a new polynomial to any checkerboard-colorable 4-valent virtual graph in terms of its Euler circuit expansion. This provides a new combinatorial formulation of the Kauffm…
On left-orderability of involutory quandles of links
Hamid Abchir, Mohammed Sabak
We give a non-left-orderability criterion for involutory quandles of non-split links. We use this criterion to show that the involutory quandle of any non-trivial alternating link…
Infinite families of non-left-orderable L-spaces
Hamid Abchir, Mohammed Sabak
For each connected alternating tangle, we provide an infinite family of non-left-orderable L-spaces. This gives further support for Conjecture [3] of Boyer, Gordon, and Watson that…
Generating links that are both quasi-alternating and almost alternating
Hamid Abchir, Mohammed Sabak
We construct an infinite family of links which are both almost alternating and quasi-alternating from a given either almost alternating diagram representing a quasi-alternating lin…