Search Results - "Chbili, Nafaa"

The Fox Trapezoidal Conjecture for Alternating Knots by Chbili, Nafaa

“…A long-standing conjecture due to R. Fox states that the coefficients of the Alexander polynomial of an alternating knot exhibit a trapezoidal pattern. In…”
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Colored HOMFLY-PT polynomials of quasi-alternating 3-braid knots by Singh, Vivek Kumar, Chbili, Nafaa

“…Obtaining a closed form expression for the colored HOMFLY-PT polynomials of knots from 3-strand braids carrying arbitrary SU(N) representation is a challenging…”
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On Khovanov Homology of Quasi-Alternating Links by Qazaqzeh, Khaled, Chbili, Nafaa

“…We prove that the length of any gap in the differential grading of the Khovanov homology of any quasi-alternating link is one. As a consequence, we obtain that…”
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Extensions of Braid Group Representations to the Monoid of Singular Braids by Bardakov, Valeriy G., Chbili, Nafaa, Kozlovskaya, Tatyana A.

“…Given a representation φ : B n → G n of the braid group B n , n ≥ 2 into a group G n , we are considering the problem of whether it is possible to extend this…”
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Alexander and Jones polynomials of weaving 3-braid links and Whitney rank polynomials of Lucas lattice by AlSukaiti, Mark E., Chbili, Nafaa

“…In this paper, a connection is established between the Jones polynomial of generalized weaving knots of type W(3,n,m) and the Chebyshev polynomial of the first…”
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Tutte Polynomials and Graph Symmetries by Chbili, Nafaa, Alderai, Noura, Ali, Roba, AlQedra, Raghd

“…The Tutte polynomial is an isomorphism invariant of graphs that generalizes the chromatic and the flow polynomials. This two-variable polynomial with integral…”
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Strong periodicity of links and the coefficients of the Conway polynomial by Chbili, Nafaa

“…Przytycki and Sokolov proved that a three-manifold admits a semi-free action of the finite cyclic group of order p with a circle as the set of fixed points if…”
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The Characteristic Polynomials of Symmetric Graphs by Chbili, Nafaa, Al Dhaheri, Shamma, Tahnon, Mei, Abunamous, Amna

“…In this paper, we study the way the symmetries of a given graph are reflected in its characteristic polynomials. Our aim is not only to find obstructions for…”
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On Knots with Cyclic Symmetries by Chbili, Nafaa

“…This review paper investigates the relationship between symmetries of knots and links in the three-dimensional sphere, with a focus on cyclic symmetries, and…”
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A new obstruction of quasialternating links by Qazaqzeh, Khaled, Chbili, Nafaa

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A Characterization of Adequate Links by Qazaqzeh, Khaled, Chbili, Nafaa

“…We show that a link is adequate if the breadth of its Jones polynomial equals the difference between its crossing number and its Turaev genus. Combining this…”
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BPS Spectra of complex knots by Singh, Vivek Kumar, Chbili, Nafaa

“…Marino's conjecture remains underexplored within the framework of $SO(N )$ string dualities. In this article, we investigated the reformulated invariants of a…”
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Alexander Polynomials of closed alternating braids by AlSukaiti, Mark E, Chbili, Nafaa

“…We prove that the Alexander polynomials of certain families of alternating 4-braid knots satisfy Fox's Trapezoidal Conjecture. Moreover, we give explicit…”
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Alexander and Jones Polynomials of weaving 3-braid links and Whitney rank polynomials of Lucas lattice by AlSukaiti, Mark E, Chbili, Nafaa

“…We establish a relationship between the Jones polynomial of generalized weaving knots of type $W(3,n,m)$ and the Chebyshev polynomial of the first kind…”
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Graph polynomials and symmetries by Nafaa, Chbili

“…In a recent paper, we studied the interaction between the automorphism group of a graph and its Tutte polynomial. More precisely, we proved that certain…”
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On Khovanov Homology of Quasi-Alternating Links by Qazaqzeh, Khaled, Chbili, Nafaa

“…We prove that the length of any gap in the differential grading of the Khovanov homology of any quasi-alternating link is one. As a consequence, we obtain that…”
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Colored HOMFLY-PT polynomials of quasi-alternating $3$-braid knots by Chbili, Nafaa, Singh, Vivek Kumar

“…Nuclear Physics B 980 (2022) 115800 Obtaining a closed-form expression for the colored HOMFLY-PT polynomials of knots from $3$-strand braids carrying arbitrary…”
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Extending Quasi-Alternating Links by Chbili, Nafaa, Kaur, Kirandeep

“…Champanerkar and Kofman introduced an interesting way to construct new examples of quasi-alternating links from existing ones. Actually, they proved that…”
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On the Jones polynomial of quasi-alternating links, II by Qazaqzeh, Khaled, Al-Rhayyel, Ahmad, Chbili, Nafaa

“…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…”
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Extensions of braid group representations to the monoid of singular braids by Bardakov, Valeriy G, Chbili, Nafaa, Kozlovskaya, Tatyana A

“…Given a representation $\varphi \colon B_n \to G_n$ of the braid group $B_n$, $n \geq 2$ into a group $G_n$, we are considering the problem of whether it is…”
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