Results 11 to 20 of about 110,880 (163)
(Generalized) Incidence and Laplacian-Like Energies
Journal of Mathematics, 2023 In this study, for graph Γ with r connected components (also for connected nonbipartite and connected bipartite graphs) and a real number ε≠0,1, we found generalized and improved bounds for the sum of ε-th powers of Laplacian and signless Laplacian ...
A. Dilek Maden, Mohammad Tariq Rahim
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Bounding the sum of the largest signless Laplacian eigenvalues of a graph [PDF]
Discrete Applied Mathematics, 2023 arXiv admin note: text overlap with arXiv:1412 ...
Aida Abiad +4 more
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Eigenvalue bounds for the signless laplacian [PDF]
Publications de l'Institut Mathematique, 2007 We extend our previous survey of properties of spectra of signless Laplacians of graphs. Some new bounds for eigenvalues are given, and the main result concerns the graphs whose largest eigenvalue is maximal among the graphs with fixed numbers of vertices and edges. The results are presented in the context of a number of computer-generated conjectures.
Cvetkovic, Dragos +2 more
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On Sum of Powers of the Laplacian and Signless Laplacian Eigenvalues of Graphs [PDF]
The Electronic Journal of Combinatorics, 2010 Let $G$ be a graph of order $n$ with signless Laplacian eigenvalues $q_1, \ldots,q_n$ and Laplacian eigenvalues $\mu_1,\ldots,\mu_n$. It is proved that for any real number $\alpha$ with $0 < \alpha\leq1$ or $2\leq\alpha < 3$, the inequality $q_1^\alpha+\cdots+ q_n^\alpha\geq \mu_1^\alpha+\cdots+\mu_n^\alpha$ holds, and for any real number ...
Saieed Akbari +3 more
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Two Kinds of Laplacian Spectra and Degree Kirchhoff Index of the Weighted Corona Networks
Journal of Mathematics, 2022 Recently, the study related to network has aroused wide attention of the scientific community. Many problems can be usefully represented by corona graphs or networks.
Haiqin Liu, Yanling Shao
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On the sum of signless Laplacian eigenvalues of a graph [PDF]
Linear Algebra and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ashraf, F. +2 more
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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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Trees with Four and Five Distinct Signless Laplacian Eigenvalues [PDF]
Journal of the Indonesian Mathematical Society, 2019 Let $G$ be a simple graph with vertex set $V(G)=\{v_1, v_2, \cdots, v_n\}$ andedge set $E(G)$.The signless Laplacian matrix of $G$ is the matrix $Q=D+A$, such that $D$ is a diagonal matrix%, indexed by the vertex set of $G$ where%$D_{ii}$ is the degree of the vertex $v_i$ and $A$ is the adjacency matrix of $G ...
Taghvaee, Fatemeh +1 more
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Graphs with the second signless Laplacian eigenvalue ≤ 4
Special Matrices, 2021 We discuss the question of classifying the connected simple graphs H for which the second largest eigenvalue of the signless Laplacian Q(H) is ≤ 4. We discover that the question is inextricable linked to a knapsack problem with infinitely many allowed ...
Drury Stephen
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The smallest eigenvalue of the signless Laplacian
Linear Algebra and its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Lima, Leonardo Silva +3 more
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