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Cyclic Structure, Vertex Degree and Number of Linear Vertices in Minimal Strong Digraphs
MathematicsMinimal Strong Digraphs (MSDs) can be regarded as a generalization of the concept of tree to directed graphs. Their cyclic structure and some spectral properties have been studied in several articles.
Miguel Arcos-Argudo +2 more
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Common Eigenvalues of Vertex-Decorated Regular Graphs
AxiomsLet G=(V,E) be a simple graph with the vertex set V and the edge set E|V|=n,|E|=m. An example of a vertex-decorated graph DG is a vertex-quadrangulated graph QG.
Vladimir R. Rosenfeld
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Eigenvalue −1 of the Vertex Quadrangulation of a 4-Regular Graph
AxiomsThe vertex quadrangulation QG of a 4-regular graph G visually looks like a graph whose vertices are depicted as empty squares, and the connecting edges are attached to the corners of the squares.
Vladimir R. Rosenfeld
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Characteristic polynomial and main eigenvalues of (0,1,2)–multigraphs [PDF]
Electronic Journal of MathematicsKaixi Wen, Zikai Tang
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Analysis of local robustness of a positional electric drive using Hermite- Biehler polynomials
Известия высших учебных заведений: Проблемы энергетикиTHE RELEVANCE of this work lies in the analysis of the local robustness of a controlled electric drive, which is a key task in the case of operation under conditions of uncertainty, when one of the most important requirements for the system is to ...
N. A. Malev
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Informatika, 2019 The paper deals with the dynamic systems with perturbed parameters described by the families of the third order characteristic polynomials having coefficients within the given intervals of values.
A. A. Nesenchuk
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An Approach to Multidimensional Discrete Generating Series
MathematicsWe extend existing functional relationships for the discrete generating series associated with a single-variable linear polynomial coefficient difference equation to the multivariable case.
Svetlana S. Akhtamova +2 more
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Oscillatory solutions of the Cauchy problem for linear differential equations
Electronic Journal of Differential Equations, 2015 We consider the Cauchy problem for second and third order linear differential equations with constant complex coefficients. We describe necessary and sufficient conditions on the data for the existence of oscillatory solutions. It is known that in the
Gro Hovhannisyan, Oliver Ruff
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Some results involving the Aα-eigenvalues for graphs and line graphs
Special MatricesLet GG be a simple graph with adjacency matrix A(G)A\left(G), degree diagonal matrix D(G),D\left(G), and let l(G)l\left(G) be the line graph of GG. In 2017, Nikiforov defined the Aα{A}_{\alpha }-matrix of GG, Aα(G){A}_{\alpha }\left(G), as a linear ...
da Silva Júnior João Domingos G. +2 more
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Phase Compensator Combined Feedback Control to Mitigate Dynamic Hysteresis in Piezoelectric Actuators. [PDF]
Micromachines (Basel)Wang Z, Li Z, Liu H, Hao G, Li B, Cao K.
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