Zobrazeno 1 - 10
of 732
pro vyhledávání: '"A. Muranov"'
Autor:
Muranov, Yuri, Muranova, Anna
In this paper we study graph burnings using methods of algebraic topology. We prove that the time function of a burning is a graph map to a path graph. Afterwards, we define a category whose objects are graph burnings and morphisms are graph maps whi
Externí odkaz:
http://arxiv.org/abs/2407.03832
The singular cubical homology theory for the category of quivers or digraphs can be constructed similarly to the classical singular homology theory for topological spaces. The case of digraphs and quivers differs from the topological case due to the
Externí odkaz:
http://arxiv.org/abs/2310.00634
We introduce the weighted path homology on the category of weigh\-ted directed hypergraphs and describe conditions of homotopy invariance of weighted path homology groups. We give several examples that explain the nontriviality of the introduced noti
Externí odkaz:
http://arxiv.org/abs/2204.07813
We describe various path homology theories constructed for a directed hypergraph. We introduce the category of directed hypergraphs and the notion of a homotopy in this category. Also, we investigate the functoriality and the homotopy invariance of t
Externí odkaz:
http://arxiv.org/abs/2109.09842
Autor:
Muranov, Alexey
Publikováno v:
Linear Algebra and its Applications, Elsevier, 2022, 645, pp.165-169
If $R$ is a commutative unital ring and $M$ is a unital $R$-module, then each element of $\operatorname{End}_R(M)$ determines a left $\operatorname{End}_{R}(M)[X]$-module structure on $\operatorname{End}_{R}(M)$, where $\operatorname{End}_{R}(M)$ is
Externí odkaz:
http://arxiv.org/abs/2105.09285
Autor:
Jimenez, Rolando, Muranov, Yuri
Publikováno v:
In Topology and its Applications 1 March 2024 344
Publikováno v:
Journal of Composites Science, Vol 8, Iss 6, p 199 (2024)
Despite the large number of studies devoted to different compositions of polymer binders for PIM technology, the actual task is still a comparative analysis of the properties of different types of binders to determine their advantages and disadvantag
Externí odkaz:
https://doaj.org/article/835ffe717e2147a9b7186f06849f444e
Publikováno v:
Emerging Science Journal, Vol 6, Iss 6, Pp 1455-1475 (2022)
Vascular pathology symptoms can be determined by retinal image segmentation and classification. However, the retinal images from non-invasive diagnostics have a complex structure containing tree-like vascular beds, multiple segment boundaries, false
Externí odkaz:
https://doaj.org/article/07409205b58947a7aab11fb003cc8ba8
Autor:
Poliansky, Nicolay B., Motyakin, Mikhail V., Kasparov, Valery V., Novikov, Ivan A., Muranov, Konstantin O.
Publikováno v:
In Biophysical Chemistry March 2023 294
Autor:
Vereschaka, Alexey, Milovich, Filipp, Andreev, Nikolay, Seleznev, Anton, Alexandrov, Islam, Muranov, Alexander, Mikhailov, Maxim, Tatarkanov, Aslan
Publikováno v:
In Journal of Manufacturing Processes 24 February 2023 88:184-201