Results 51 to 60 of about 63,846 (213)
A novel method to construct cospectral graphs based on RT operation [PDF]
AIP AdvancesThis paper presents a new graph operation, RT(G), which is formed by transforming each vertex and edge of the original graph G into a triangle. We analyze the relationship between the signless Laplacian characteristic polynomials of the graph RT(G) and ...
Xiu-Jian Wang +2 more
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Signless Laplacian Energy of Interval-Valued Fuzzy Graph and its Applications
Sains Malaysiana, 2023 An interval-valued fuzzy graph (IVFG) emanates from a fuzzy graph (FG) where the membership is given in interval form. This framework give the user more flexibility in dealing with fuzzy information.
M. Romdhini +4 more
semanticscholar +1 more source
Principal eigenvector of the signless Laplacian matrix [PDF]
Computational and Applied Mathematics, 2021 In this paper, we study the entries of the principal eigenvector of the signless Laplacian matrix of a hypergraph. More precisely, we obtain bounds for this entries. These bounds are computed trough other important parameters, such as spectral radius, maximum and minimum degree.
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On distance signless Laplacian spectrum and energy of graphs
Electronic Journal of Graph Theory and Applications, 2018 The distance signless Laplacian spectral radius of a connected graph G is the largest eigenvalue of the distance signless Laplacian matrix of G, defined as DQ(G) = Tr(G) + D(G), where D(G) is the distance matrix of G and Tr(G) is the diagonal ...
Abdollah Alhevaz +2 more
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Communications in Advanced Mathematical Sciences, 2018 The signless Laplacian eigenvalues of a graph $G$ are eigenvalues of the matrix $Q(G) = D(G) + A(G)$, where $D(G)$ is the diagonal matrix of the degrees of the vertices in $G$ and $A(G)$ is the adjacency matrix of $G$.
Rao Li
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ON THE SPECTRAL CHARACTERISTICS OF SIGNLESS LAPLACIAN MATRIX [PDF]
South East Asian Journal of Mathematics and Mathematical SciencesPallabi Bora, M. M. Rahman
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Majorization bounds for signless Laplacian eigenvalues
The Electronic Journal of Linear Algebra, 2013 It is known that, for a simple graph G and a real number , the quantity s0 (G) is defined as the sum of the -th power of non-zero singless Laplacian eigenvalues of G. In this paper, first some majorization bounds over s 0(G) are presented in terms of the degree sequences, and number of vertices and edges of G. Additionally, a connection between s 0(G)
Maden, A. Dilek, Cevik, A. Sinan
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Constructing non-isomorphic signless Laplacian cospectral graphs [PDF]
Discrete Mathematics, 2020 In this article, we generate large families of non-isomorphic and signless Lalacian cospectral graphs using partial transpose on graphs. Our constructions are significantly powerful. More than $70\%$ of non-isomorphic signless-Laplacian cospectral graphs can be generated with partial transpose when number of vertices is $\le 8$.
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A Sharp upper bound for the spectral radius of a nonnegative matrix and applications [PDF]
, 2016 In this paper, we obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the ...
Shu, Yujie, You, Lihua, Zhang, Xiao-Dong
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Topological Indices of Certain Transformed Chemical Structures
Journal of Chemistry, Volume 2020, Issue 1, 2020., 2020 Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum‐connectivity index, and atom‐bond connectivity index are employed to calculate the bioactivity of chemicals.
Xuewu Zuo +5 more
wiley +1 more source