Results 11 to 20 of about 63,846 (213)
Journal of Mathematics, 2021 Let G be a graph with n vertices, and let LG and QG denote the Laplacian matrix and signless Laplacian matrix, respectively. The Laplacian (respectively, signless Laplacian) permanental polynomial of G is defined as the permanent of the characteristic ...
Tingzeng Wu, Tian Zhou
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On Distance Signless Laplacian Spectral Radius and Distance Signless Laplacian Energy [PDF]
Mathematics, 2020 In this article, we find sharp lower bounds for the spectral radius of the distance signless Laplacian matrix of a simple undirected connected graph and we apply these results to obtain sharp upper bounds for the distance signless Laplacian energy graph.
Luis Medina, Hans Nina, Macarena Trigo
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Quantum search with the signless Laplacian [PDF]
Physical Review AContinuous-time quantum walks are typically effected by either the discrete Laplacian or the adjacency matrix. In this paper, we explore a third option: the signless Laplacian, which has applications in algebraic graph theory and may arise in layered ...
Molly E. McLaughlin, Thomas G. Wong
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Distance (signless) Laplacian spectrum of dumbbell graphs [PDF]
Transactions on Combinatorics, 2023 In this paper, we determine the distance Laplacian and distance signless Laplacian spectrum of generalized wheel graphs and a new class of graphs called dumbbell graphs.
Sakthidevi Kaliyaperumal +1 more
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The signless Laplacian matrix of hypergraphs
Special Matrices, 2022 In this article, we define signless Laplacian matrix of a hypergraph and obtain structural properties from its eigenvalues. We generalize several known results for graphs, relating the spectrum of this matrix to structural parameters of the hypergraph ...
Cardoso Kauê, Trevisan Vilmar
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(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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Unifying adjacency, Laplacian, and signless Laplacian theories [PDF]
Ars Mathematica ContemporaneaLet $G$ be a simple graph with associated diagonal matrix of vertex degrees $D(G)$, adjacency matrix $A(G)$, Laplacian matrix $L(G)$ and signless Laplacian matrix $Q(G)$.
Aniruddha Samanta, Deepshikha, K. Das
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Seidel Signless Laplacian Energy of Graphs [PDF]
Mathematics Interdisciplinary Research, 2017 Let S(G) be the Seidel matrix of a graph G of order n and let DS(G)=diag(n-1-2d1, n-1-2d2,..., n-1-2dn) be the diagonal matrix with d_i denoting the degree of a vertex v_i in G.
Harishchandra Ramane +3 more
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On Normalized Signless Laplacian Resolvent Energy
Kragujevac Journal of Mathematics. Let G be a simple connected graph with n vertices. Denote by L + ( G ) = D ( G ) − 1 / 2 Q ( G ) D ( G ) − 1 / 2 the normalized signless Laplacian matrix of graph G , where Q ( G ) and D ( G ) are the signless Laplacian and diagonal degree matrices of ...
S. Altindag +3 more
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Signless Laplacians of finite graphs [PDF]
Linear Algebra and its Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dragoš Cvetković +2 more
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