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pro vyhledávání: '"V. I. Benediktovich"'
Autor:
V. M. Demidenko, V. I. Benediktovich
Publikováno v:
Informatika, Vol 19, Iss 1, Pp 72-87 (2022)
O b j e c t i v e s. The problem of efficient organization of the execution of sequential computational processes in the vector mode is solved, taking into account the capabilities of modern high-performance vector-pipeline computers. The relevance o
Externí odkaz:
https://doaj.org/article/a152d5aaac11444eba2d977cd60c9a16
Autor:
V. I. Benediktovich
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 59:62-70
In recent years, the eigenvalues of the distance matrix of a graph have attracted a lot of attention of mathematicians, since there is a close connection between its spectrum and the structural properties of the graph. Thus, quite recently an interes
Autor:
V. I. Benediktovich
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 58:169-178
It is known that the existence of many classical combinatorial structures in a graph, such as perfect matchings, Hamiltonian cycles, effective dominating sets, etc., can be characterized using (κ,τ)-regular sets, whose determination is equivalent t
Autor:
V. I. Benediktovich
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 57:274-285
It is well known that the recognition problem of the existence of a perfect matching in a graph, as well as the recognition problem of its Hamiltonicity and traceability, is NP-complete. Quite recently, lower bounds for the size and the spectral radi
Autor:
V. I. Benediktovich
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 55:169-175
A graph parameter – a circumference of a graph – and its relationship with the algebraic parameters of a graph – eigenvalues of the adjacency matrix and the unsigned Laplace matrix of a graph – are considered in this article. Earlier we have
Autor:
V. I. Benediktovich
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 54:434-440
An algebraic parameter of a graph – a difference between its maximum degree and its spectral radius is considered in this paper. It is well known that this graph parameter is always nonnegative and represents some measure of deviation of a graph fr