Results 21 to 30 of about 10,069,733 (332)
On the Sombor characteristic polynomial and Sombor energy of a graph [PDF]
Computational and Applied Mathematics, 2021 Let G be a simple graph with vertex set V(G)={v1,v2,…,vn}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Nima Ghanbari
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The Stability Interval of the Set of Linear System [PDF]
International Journal of Electronics and Telecommunications, 2021 The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and Lienard- Shipar interval criteria. Krylov, Leverier, and Leverier- Danilevsky algorithms are implemented for automated construction and analysis of
Talgat Mazakov +5 more
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Factorization of the Characteristic Polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a new method for showing that the roots of the characteristic polynomial of a finite lattice are all nonnegative integers. Our method gives two simple conditions under which the characteristic polynomial factors.
Joshua Hallam, Bruce Sagan
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On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph
Jurnal Matematika UNAND, 2022 In this paper, we find the characteristic polynomial of the antiadjacency matrix of a line digraph. There are recent studies on the relation between the characteristic polynomial of the adjacency matrix and its line digraph, we are also interested in ...
Muhammad Irfan Arsyad Prayitno +1 more
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On characteristic polynomial and energy of Sombor matrix
Open Journal of Discrete Applied Mathematics, 2021 Let \(G\) be a simple graph with vertex set \(V=\{v_1,v_2,\ldots,v_n \}\), and let \(d_i\) be the degree of the vertex \(v_i\). The Sombor matrix of \(G\) is the square matrix \(\mathbf A_{SO}\) of order \(n\), whose \((i,j)\)-element is \(\sqrt{d_i^2 ...
Gowtham Kalkere Jayanna, I. Gutman
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Deterministic computation of the characteristic polynomial in the time of matrix multiplication [PDF]
Journal of Complexity, 2020 This paper describes an algorithm which computes the characteristic polynomial of a matrix over a field within the same asymptotic complexity, up to constant factors, as the multiplication of two square matrices.
Vincent Neiger, Clément Pernet
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SIGNED GENERALIZED PETERSEN GRAPH AND ITS CHARACTERISTIC POLYNOMIAL [PDF]
Journal of Algebraic Systems, 2018 Let G^s be a signed graph, where G = (V;E) is the underlying simple graph and s : E(G) to {+, -} is the sign function on E(G). In this paper, we obtain k-th signed spectral moment and k-th signed Laplacian spectral moment of Gs together with coefficients ...
E. Ghasemian, Gh. H. Fath-Tabar
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Journal of Physics: Conference Series, 2021 This research discussed the characteristic polynomial and eigenvalues of antiadjacency matrix of directed unicyclic flower vase graph. The entries of the antiadjacency matrix of a directed graph represent the presence or the absence of a directed arc ...
Bayu H. Aji, K. Sugeng, S. Aminah
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On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension [PDF]
Computational and Applied Mathematics, 2020 In this paper, we solve the problem of computing the inverse in Clifford algebras of arbitrary dimension. We present basis-free formulas of different types (explicit and recursive) for the determinant, other characteristic polynomial coefficients ...
D. Shirokov
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Joint moments of a characteristic polynomial and its derivative for the circular β-ensemble [PDF]
Probability and Mathematical Physics, 2020 The problem of calculating the scaled limit of the joint moments of the characteristic polynomial, and the derivative of the characteristic polynomial, for matrices from the unitary group with Haar measure first arose in studies relating to the Riemann ...
P. Forrester
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