Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Andrei Vesnin"'
Publikováno v:
Symmetry, Vol 14, Iss 1, p 15 (2021)
F-polynomials for virtual knots were defined by Kaur, Prabhakar and Vesnin in 2018 using flat virtual knot invariants. These polynomials naturally generalize Kauffman’s affine index polynomial and use smoothing in the classical crossing of a virtua
Externí odkaz:
https://doaj.org/article/4ad1b1ae588545d498bd630bc93204c7
Publikováno v:
Symmetry, Vol 14, Iss 15, p 15 (2022)
Symmetry; Volume 14; Issue 1; Pages: 15
Symmetry; Volume 14; Issue 1; Pages: 15
F-polynomials for virtual knots were defined by Kaur, Prabhakar and Vesnin in 2018 using flat virtual knot invariants. These polynomials naturally generalize Kauffman's affine index polynomial and use smoothing in classical crossing of a virtual knot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87a8e40ca687a1d7da18de107a64d5d7
https://www.mdpi.com/2073-8994/14/1/15
https://www.mdpi.com/2073-8994/14/1/15
Publikováno v:
Science China Mathematics. 63:1997-2004
The main results of the paper are that we give a necessary and sufficient condition for a surface sum of two handlebodies along a connected surface to be a handlebody as follows: (1) The annulus sum H = H1∪AH2 of two handlebodies H1 and H2 is a han
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e34dcb1e9f208939ab908de01a26360
https://doi.org/10.1007/s11425-019-1647-9
https://doi.org/10.1007/s11425-019-1647-9
Publikováno v:
Fullerenes, Nanotubes and Carbon Nanostructures. 28:545-550
A pure topological mechanism able to explain fullerenes stability is presented here. The non-trivial case of the C84 fullerene isomers with isolated Pentagons Is in fact analyzed. This original com...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::810816a3bc8860f7fa859dc297ff828e
https://doi.org/10.1080/1536383x.2020.1719482
https://doi.org/10.1080/1536383x.2020.1719482
Autor:
Andrei Vesnin, Andrey A. Dobrynin
Publikováno v:
Fullerenes, nanotubes, and carbon nanostructures. 2022. Vol. 30, № 5. P. 508-511
Fullerene graphs are mathematical models of fullerene molecules. The Wiener $(r,s)$-complexity of a fullerene graph $G$ with vertex set $V(G)$ is the number of pairwise distinct values of $(r,s)$-transmission $tr_{r,s}(v)$ of its vertices $v$: $tr_{r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45ba99030c0518bd4e425fab6ba38aeb
We study a local twist move on welded knots that is an analog of the virtualization move on virtual knots. Since this move is an unknotting operation we define an invariant, unknotting twist number, for welded knots. We relate the unknotting twist nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4095f3070a22eb517e5788703b547dc2
Gordian complex of knots was defined by Hirasawa and Uchida as the simplicial complex whose vertices are knot isotopy classes in $\mathbb{S}^3$. Later Horiuchi and Ohyama defined Gordian complex of virtual knots using $v$-move and forbidden moves. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a55143fcb9b792ca02ac4cf4d1201ac6
Autor:
Dušan Repovš, Andrei Vesnin
Publikováno v:
Bulletin of the Australian Mathematical Society, vol. 94, pp. 326-336, 2016.
The Gehring–Martin–Tan inequality for two-generator subgroups of $\text{PSL}(2,\mathbb{C})$ is one of the best known discreteness conditions. A Kleinian group $G$ is called a Gehring–Martin–Tan group if the equality holds for the group $G$. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0337010644f5a3b785f763b37351258
https://doi.org/10.1017/s0004972716000228
https://doi.org/10.1017/s0004972716000228
Publikováno v:
Results in Mathematics. 71:623-642
We construct ball packings of the universal cover of $${{\rm{SL}}_{2}({\mathbb{R}})}$$ by geodesic balls and translation balls. The packings are generated by action of the prism groups $${{\mathbf{pq}}_{k}{\mathbf{o}}_{\ell}}$$ . We obtain volume for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11769855940559ff4c9e0450aa42e17a
https://doi.org/10.1007/s00025-016-0542-y
https://doi.org/10.1007/s00025-016-0542-y
Publikováno v:
Journal of Knot Theory and Its Ramifications. 29:2002001
This is a preface to the special issue on Proceedings of the Sixth Russian-Chinese Conference on Knot Theory and Related Topics which was held in Novosibirsk in June 2019.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f120118cd14f562ba0ec6f42013f15c1
https://doi.org/10.1142/s0218216520020010
https://doi.org/10.1142/s0218216520020010