Results 1 to 10 of about 359 (57)
On cospectrality of gain graphs
Special Matrices, 2022 We define GG-cospectrality of two GG-gain graphs (Γ,ψ)\left(\Gamma ,\psi ) and (Γ′,ψ′)\left(\Gamma ^{\prime} ,\psi ^{\prime} ), proving that it is a switching isomorphism invariant.
Cavaleri Matteo, Donno Alfredo
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Veterinary Dermatology, Volume 34, Issue 3, Page 235-245, June 2023., 2023 Background – Oral and parenteral drug delivery in horses can be difficult. Equine‐specific transdermal drug formulations offer improved ease of treatment; development of such formulations requires a deeper understanding of the structural and chemical tissue barrier of horse skin. Hypothesis/Objectives – To compare the structural composition and barrier
Samuel C. Bizley +3 more
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Incidence matrices and line graphs of mixed graphs
Special Matrices, 2023 In the theory of line graphs of undirected graphs, there exists an important theorem linking the incidence matrix of the root graph to the adjacency matrix of its line graph. For directed or mixed graphs, however, there exists no analogous result.
Abudayah Mohammad +2 more
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Some new results on colour-induced signed graphs
Acta Universitatis Sapientiae: Informatica, 2022 A signed graph is a graph in which positive or negative signs are assigned to its edges. We consider equitable colouring and Hamiltonian colouring to obtain induced signed graphs.
Sudheer Niranjana +3 more
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Star complements for ±2 in signed graphs
Special Matrices, 2022 In this article, we investigate connected signed graphs which have a connected star complement for both −2-2 and 2 (i.e. simultaneously for the two eigenvalues), where −2-2 (resp.
Mulas Raffaella, Stanić Zoran
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Walks and eigenvalues of signed graphs
Special Matrices, 2023 In this article, we consider the relationships between walks in a signed graph G˙\dot{G} and its eigenvalues, with a particular focus on the largest absolute value of its eigenvalues ρ(G˙)\rho \left(\dot{G}), known as the spectral radius.
Stanić Zoran
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The hidden symmetry of Kontsevich's graph flows on the spaces of Nambu-determinant Poisson brackets [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 Kontsevich's graph flows are -- universally for all finite-dimensional affine Poisson manifolds -- infinitesimal symmetries of the spaces of Poisson brackets.
Ricardo Buring +2 more
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Some Properties of the Eigenvalues of the Net Laplacian Matrix of a Signed Graph
Discussiones Mathematicae Graph Theory, 2022 Given a signed graph Ġ, let AĠ and DG˙±D_{\dot G}^ \pm denote its standard adjacency matrix and the diagonal matrix of vertex net-degrees, respectively. The net Laplacian matrix of Ġ is defined to be NG˙=DG˙±-AG˙{N_{\dot G}} = D_{\dot G}^ \pm - {A_{\dot
Stanić Zoran
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On Singular Signed Graphs with Nullspace Spanned by a Full Vector: Signed Nut Graphs
Discussiones Mathematicae Graph Theory, 2022 A signed graph has edge weights drawn from the set {+1, −1}, and is sign-balanced if it is equivalent to an unsigned graph under the operation of sign switching; otherwise it is sign-unbalanced.
Bašić Nino +3 more
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More on Signed Graphs with at Most Three Eigenvalues
Discussiones Mathematicae Graph Theory, 2022 We consider signed graphs with just 2 or 3 distinct eigenvalues, in particular (i) those with at least one simple eigenvalue, and (ii) those with vertex-deleted subgraphs which themselves have at most 3 distinct eigenvalues.
Ramezani Farzaneh +2 more
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