Laplacian eigenvalues (of graph)
On the sum of the two largest Laplacian eigenvalues of trees
... connected graph G, denoted by d(G), is the maximum distance among all pairs of vertices in ...the Laplacian matrix of G and its eigenvalues are called the Lapla- cian eigenvalues of ...the ...
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Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs
... [1] M. Bianchi, A. Cornaro, J. L. Palacios and A. Torriero, Bounding the sum of powers of normalized Laplacian eigenvalues of graphs through majorization methods, MATCH Commun. Math. Comput. Chem. 70 (2013) ...
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On marker set distance Laplacian eigenvalues in graphs.
... the Laplacian eigenvalues. To define the Laplacian, we have defined the distance degree sequence of the marker set in the ...the Laplacian matrix, its characteristic polynomial and related ...
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Bicyclic graphs with maximum sum of the two largest Laplacian eigenvalues
... bicyclic graph G is obtained from a basic bicyclic graph ∞(p, q, l) or θ (p, q, l) by attaching trees to some of its ...bicyclic graph G, we call its basic bicyclic graph ∞(p, q, l) or θ (p, ...
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Bounds on normalized Laplacian eigenvalues of graphs
... planar graph is called a maximal planar graph if for every pair of nonadjacent vertices u and v of G, the graph G + uv is ...the Laplacian spectral radius of a triangulation and a maximal ...
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On the sum of the two largest Laplacian eigenvalues of unicyclic graphs
... Let G = (V, E) be a simple connected graph with vertex set V (G) and edge set E(G). Its order is | V (G) | , denoted by n(G) (or n for short), and its size is | E(G) | , denoted by m(G) (or m for short). For a ...
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Remoteness and distance, distance (signless) Laplacian eigenvalues of a graph
... two AutoGraphiX (a software package devoted to conjecture-making in graph theory) conjectures on remoteness, vertex connectivity and algebraic connectivity. Sedlar [7] also studied AutoGraphiX conjectures ...
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Vol 7, No 10 (2016)
... color Laplacian energy of graphs and proved many results about color Laplacian energy and established relationships between color eigenvalues, color Laplacian eigenvalues of a graphs in ...
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Eigenvalues of the Laplacian and disconjugacy criteria
... for eigenvalues. The search of lower bounds of eigenvalues has a long history, which can be traced back to Sturm and Liouville; lower bounds for the p-Laplacian eigenvalues were obtained in ...
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Laplacian Energy of a Fuzzy Graph
... a graph is equal to the sum of distances of the Laplacian eigenvalues of and the average degree () of ...The Laplacian energy () and the ordinary energy () were found [6] to have a number of ...
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The integral equation methods for the perturbed Helmholtz eigenvalue problems
... the eigenvalues of the Laplacian operator under boundary variations of the domain of ...the eigenvalues are the characteristic values of meromorphic operator-valued functions which are of Fredholm ...
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LAPLACIAN MATRIX IN ALGEBRAIC GRAPH THEORY
... The analysis of relational patterns, or graphs, has proven to be considerably more elusive than the analysis of vectorial patterns. Relational patterns arise naturally in the representation of data in which there is a ...
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On Eccentricity Version of Laplacian Energy of a Graph
... the graph energy have been reported, see for instance [2, 8, 10, ...of graph energy, other different energy like quantities have been proposed and studied by different ...the graph G, ...
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Laplacian Sum-Eccentricity Energy of a Graph
... [25] Y. Z. Song, P. Arbelaez, P. Hall, C. Li, A. Balikai, Finding semantic struc- tures in image hierarchies using Laplacian graph energy, in: K. Daniilidis, P. Maragos, N. Paragios (Eds.), Computer Vision ...
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Energy of graphs
... simple graph of order n and m edges. The energy of a graph G, denoted by E ( G ) , is defined by Ivan Gutman as the sum of the absolute values of all eigenvalues of ...in graph energy has ...
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Distributed Consensus of High Order Multi Agents with Nonlinear Dynamics
... the laplacian matrix corresponding to the network ...nonzero eigenvalues of the laplacian matrix accord- ing to the network topology are identical, the parameter matrix in the consensus algorithm can ...
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Eigenvalues of the Cayley Graph of Some Groups with respect to a Normal Subset
... We end our paper by computing eigenvalues of a group of type Ree of charac- teristic q. We refer to [15, 16, 18] for our notations and known results concerning this important class of simple groups. A finite group ...
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Optimal Conditions for Maximum and Antimaximum Principles of the Periodic Solution Problem
... use eigenvalues to give a complete description for the sign of Green ...besides eigenvalues, rotation numbers, and oscillation of solutions, some important estimates on Poincar´e matrixes in 10, 12 will be ...
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RETRACTED: Eigenvalues of the p Laplacian and Evolution under the Ricci Harmonic Map Flowc
... (3.4) Equation (3.4) implies that the eigenvalues from (3.1) are all positive. Suppose now that u x t , is the eigenfunction that corresponds to the first p - eigenvalue p ,1 t from (3.1). An ...
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Eigenstructure of the equilateral triangle Part III The Robin problem
... 9. Orthogonality. By Rellich’s theorem [8], eigenfunctions corresponding to distinct eigenvalues are guaranteed to be orthogonal. Also, a symmetric mode and an anti- symmetric mode are automatically orthogonal. ...
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