Výsledky vyhledávání - "Alexander Stoimenow"

Akademický článek

Autor: Alexander Stoimenow

Publikováno v: Symmetry, Vol 7, Iss 2, Pp 365-375 (2015)

A link diagram is said to be (orientedly) everywhere equivalent if all the diagramsobtained by switching one crossing represent the same (oriented) link. We classify suchdiagrams of two components.

Externí odkaz: https://doaj.org/article/d966321ce2764fce879b2c571c2f24a7

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Subsymmetric exchanged braids and the Burau matrix

Autor: Alexander Stoimenow

Publikováno v: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. :1-34

We develop a method based on the Burau matrix to detect conditions on the linking numbers of braid strands. Our main application is to iterated exchanged braids. Unless the braid permutation fixes both braid edge strands, we establish under some fair

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a3881801c01dce98074632ca60c198f1
https://doi.org/10.1017/prm.2023.1

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Exchangeability and Non-Conjugacy of Braid Representatives

Autor: Alexander Stoimenow

Publikováno v: International Journal of Computational Geometry & Applications. 31:39-73

We obtain some fairly general conditions on the linking numbers and geometric properties of a link, under which it has infinitely many conjugacy classes of [Formula: see text]-braid representatives if and only if it has one admitting an exchange move

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::82144b798b6949e4dfd0808642c3ce6a
https://doi.org/10.1142/s0218195921500047

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Hyperbolicity of the canonical genus two knots

Autor: Alexander Stoimenow

Publikováno v: Journal of Symbolic Computation. 101:242-269

We classify the non-hyperbolic knots (i.e., torus, satellite and composite knots) of canonical genus at most 2. We use cut-and-paste and combinatorial arguments, but most substantially we develop an approach for (computationally) testing knot primene

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4a572d768e15255a57f7841aac628ce7
https://doi.org/10.1016/j.jsc.2019.08.003

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EXCHANGE MOVES AND NONCONJUGATE BRAID REPRESENTATIVES OF KNOTS

Autor: Alexander Stoimenow, Reiko Shinjo

Publikováno v: Nagoya Mathematical Journal. 240:298-321

We prove that for $n\geqslant 4$, every knot has infinitely many conjugacy classes of $n$-braid representatives if and only if it has one admitting an exchange move.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee60cd48c5f081de0f39117c0932ce87
https://doi.org/10.1017/nmj.2019.10

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Independence polynomials and Alexander-Conway polynomials of plumbing links

Autor: Alexander Stoimenow

Publikováno v: Journal of Combinatorial Theory, Series A. 183:105487

We use the Chudnovsky-Seymour Real Root Theorem for independence polynomials to obtain some statements about the coefficients and roots of the Alexander and Conway polynomial of some types of plumbing links, addressing conjectures of Fox, Hoste and L

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c781da6f7b61364892ffb8a3456006dc
https://doi.org/10.1016/j.jcta.2021.105487

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A theorem on graph embedding with a relation to hyperbolic volume

Autor: Alexander Stoimenow

Publikováno v: Combinatorica. 36:557-589

We prove that a planar cubic cyclically 4-connected graph of odd ź < 0 is the dual of a 1-vertex triangulation of a closed orientable surface. We explain how this result is related to (and applied to prove at a separate place) a theorem about hyperb

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba084af5be832dc4478785bc1fe09638
https://doi.org/10.1007/s00493-014-2840-x

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