Zobrazeno 1 - 10
of 728
pro vyhledávání: '"Muranov AN"'
In this paper we introduce a primitive path homology theory on the category of simple digraphs. On the subcategory of asymmetric digraphs, this theory coincides with the path homology theory which was introduced by Grigor'yan, Lin, Muranov, and Yau,
Externí odkaz:
http://arxiv.org/abs/2411.18955
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
Autor:
Vladimir Zh. Kuklin, Naur Z. Ivanov, Alexander N. Muranov, Islam A. Alexandrov, Elena Yu. Linskaya
Publikováno v:
Emerging Science Journal, Vol 8, Iss 6, Pp 2449-2464 (2024)
Modern complexes providing biometric identification face several problems, such as information drift caused by the variability of facial patterns, voice timbres, and current states. Information drift can characteristically exhibit short-term (subject
Externí odkaz:
https://doaj.org/article/b1b86b0784164deb9ccf88a29ac7fefc
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
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