Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Oleksiy Dovgoshey"'
Autor:
Viktoriia Bilet, Oleksiy Dovgoshey
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
Let X be a class of metric spaces and let PX be the set of all f : [0, ∞) → [0, ∞) preserving X, i.e., (Y, f ∘ ρ) ∈ X whenever (Y, ρ) ∈ X. For arbitrary subset A of the set of all metric preserving functions, we show that the equality P
Externí odkaz:
https://doaj.org/article/70aacfa875914ebd975c3b2aa12b7aa4
Publikováno v:
Theory and Applications of Graphs, Vol 9, Iss 1, Pp 1-17 (2022)
Let \((X, d)\) be a semimetric space and let \(G\) be a graph. We say that \(G\) is the diametrical graph of \((X, d)\) if \(X\) is the vertex set of \(G\) and the adjacency of vertices \(x\) and \(y\) is equivalent to the equality \(\diam X = d(x, y
Externí odkaz:
https://doaj.org/article/e7ccea5b45144f748a895334593833fc
Autor:
Oleksiy Dovgoshey
Publikováno v:
Theory and Applications of Graphs, Vol 7, Iss 2 (2020)
We study the conditions under which the isometry of spaces with metrics generated by weights given on the edges of finite trees is equivalent to the isomorphism of these trees. Similar questions are studied for ultrametric spaces generated by labelin
Externí odkaz:
https://doaj.org/article/978f1ebd3dbb4c128f80228bf6f08401
Autor:
Viktoriia Bilet, Oleksiy Dovgoshey
Publikováno v:
Theory and Applications of Graphs, Vol 5, Iss 2 (2018)
Let $(X, d)$ be an unbounded metric space and let $\tilde r=(r_n)_{n\in\mathbb N}$ be a sequence of positive real numbers tending to infinity. A pretangent space $\Omega_{\infty, \tilde r}^{X}$ to $(X, d)$ at infinity is a limit of the rescaling sequ
Externí odkaz:
https://doaj.org/article/fed71bdafaa04fab9a14123081c8ec57
Autor:
Oleksiy Dovgoshey, Juhani Riihentaus
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2010 (2010)
After considering a variant of the generalized mean value inequality of quasinearly subharmonic functions, we consider certain invariance properties of quasinearly subharmonic functions. Kojić has shown that in the plane case both the class of quasi
Externí odkaz:
https://doaj.org/article/a453a38d1367423b9703ea84a590b150
Publikováno v:
Journal of Mathematical Sciences. 264:369-388
We say that a bipartite graph $G(A, B)$ with fixed parts $A$, $B$ is proximinal if there is a semimetric space $(X, d)$ such that $A$ and $B$ are disjoint proximinal subsets of $X$ and all edges $\{a, b\}$ satisfy the equality $d(a, b) = \operatornam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fcf440b91de9e68a55178dde4ce2e46
https://doi.org/10.1007/s10958-022-06005-5
https://doi.org/10.1007/s10958-022-06005-5
Autor:
Oleksiy Dovgoshey
Publikováno v:
Theory and Applications of Graphs. 9:1-17
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::122cc6d3cd64095d1b8725883f0ea41a
https://doi.org/10.20429/tag.2022.090108
https://doi.org/10.20429/tag.2022.090108
Autor:
Robert W. Vallin, Oleksiy Dovgoshey
Publikováno v:
Mathematica Slovaca. 71:391-408
The p-adic completion ℚ p of the rational numbers induces a different absolute value |⋅| p than the typical | ⋅| we have on the real numbers. In this paper we compare and contrast functions f : ℝ+ → ℝ+, for which the composition with the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::149df359cc3334ebfa1449e457a2d758
https://doi.org/10.1515/ms-2017-0476
https://doi.org/10.1515/ms-2017-0476
Autor:
Oleksiy Dovgoshey
Publikováno v:
Mathematica Slovaca. 70:173-182
Characterizations of pseudoultrametric-preserving functions and semimetric-preserving functions are found. The structural properties of pseudoultrametrics which can be represented as a composition of an ultrametric and ultrametric-pseudoultrametric-p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::717bbf1e3295e2f5e72cc0e6aebb84c5
https://doi.org/10.1515/ms-2017-0342
https://doi.org/10.1515/ms-2017-0342
Autor:
Oleksiy Dovgoshey, E. Petrov
Publikováno v:
p-Adic Numbers, Ultrametric Analysis and Applications. 12:1-11
We characterize finite ultrametric spaces having the strictly n-ary representing trees and finite ultrametric spaces having the representing trees with injective internal labelings by their extremal properties.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9017944a263a79a5f743fcc2bb26750
https://doi.org/10.1134/s207004662001001x
https://doi.org/10.1134/s207004662001001x