Zobrazeno 1 - 10 of 149 pro vyhledávání: '"A. Yu. Vesnin"'
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Akademický článek
On the Wiener Complexity and the Wiener Index of Fullerene Graphs
Autor: Andrey A. Dobrynin, Andrei Yu Vesnin
Publikováno v: Mathematics, Vol 7, Iss 11, p 1071 (2019)
Fullerenes are molecules that can be presented in the form of cage-like polyhedra, consisting only of carbon atoms. Fullerene graphs are mathematical models of fullerene molecules. The transmission of a vertex v of a graph is a local graph invariant
Externí odkaz: https://doaj.org/article/7a569100675f4f4ba93c321d42591451
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5
Brieskorn Manifolds, Generalized Sieradski Groups, and Coverings of Lens Spaces
Autor: Tatyana A. Kozlovskaya, A. Yu. Vesnin
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 304:S175-S185
The Brieskorn manifolds $B(p,q,r)$ are the $r$-fold cyclic coverings of the 3-sphere $S^{3}$ branched over the torus knot $T(p,q)$. The generalised Sieradski groups $S(m,p,q)$ are groups with $m$-cyclic pre\-sen\-tation $G_{m}(w)$, where defining wor
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce15c9f35fbe49cb662a61e14ea3a2ed
https://doi.org/10.1134/s0081543819020196
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6
On correlation of hyperbolic volumes of fullerenes with their properties
Autor: A Yu. Vesnin, Andrey Egorov
Publikováno v: Computational and Mathematical Biophysics, Vol 8, Iss 1, Pp 150-167 (2020)
We observe that fullerene graphs are one-skeletons of polyhedra, which can be realized with all dihedral angles equal to $\pi/2$ in a hyperbolic 3-dimensional space. One of the most important invariants of such a polyhedron is its volume. We are refe
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b8678ea5f04fcaff3b9367d7160553f
http://arxiv.org/abs/2011.02711
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