Results 31 to 40 of about 76,384 (242)
Signless Laplacian spectrum of power graphs of finite cyclic groups
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper, we have studied the Signless Laplacian spectrum of the power graph of finite cyclic groups. We have shown that is an eigen value of Signless Laplacian of the power graph of with multiplicity at least In particular, using the theory of ...
Subarsha Banerjee, Avishek Adhikari
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Extremal Graph Realizations and Graph Laplacian Eigenvalues
SIAM Journal on Discrete Mathematics, 2023 For a regular polyhedron (or polygon) centered at the origin, the coordinates of the vertices are eigenvectors of the graph Laplacian for the skeleton of that polyhedron (or polygon) associated with the first (non-trivial) eigenvalue. In this paper, we generalize this relationship.
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On the Seidel Laplacian spectrum of threshold graphs [PDF]
Journal of HyperstructuresA graph which does not contain C4, P4, or 2K2 as its induced subgraphs, is called a threshold graph. In this paper, we consider seidel laplacian matrix of a connected threshold graph and determine the seidel laplacian spectrum. Also, the characterization
Megha P M, Parvathy K S
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2020 The traditional graph Laplacian model has been widely used in many computer vision tasks. The small target detection technique is one of the most challenging computer vision tasks in various practical applications.
Chaoqun Xia +3 more
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A generalization of the graph Laplacian with application to a distributed consensus algorithm
International Journal of Applied Mathematics and Computer Science, 2015 In order to describe the interconnection among agents with multi-dimensional states, we generalize the notion of a graph Laplacian by extending the adjacency weights (or weighted interconnection coefficients) from scalars to matrices.
Zhai Guisheng
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Some improved bounds on two energy-like invariants of some derived graphs
Open Mathematics, 2019 Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and
Cui Shu-Yu, Tian Gui-Xian
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Signless Laplacian determinations of some graphs with independent edges
Karpatsʹkì Matematičnì Publìkacìï, 2018 Let $G$ be a simple undirected graph. Then the signless Laplacian matrix of $G$ is defined as $D_G + A_G$ in which $D_G$ and $A_G$ denote the degree matrix and the adjacency matrix of $G$, respectively.
R. Sharafdini, A.Z. Abdian
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THE SPECTRAL DETERMINATION OF THE MULTICONE GRAPHS Kw ▽ C WITH RESPECT TO THEIR SIGNLESS LAPLACIAN SPECTRA [PDF]
Journal of Algebraic Systems, 2020 The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra. A multicone graph is defined to be the join of a clique and a regular graph.
A. Zeydi Abdian +2 more
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Automatica, 2019 This paper provides a construction method of the nearest graph Laplacian to a matrix identified from measurement data of graph Laplacian dynamics that include biochemical systems, synchronization systems, and multi-agent systems. We consider the case where the network structure, i.e., the connection relationship of edges of a given graph, is known.
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Normalized Laplacian Spectrum of Some Q-Coronas of Two Regular Graphs
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper we determine the normalized Laplacian spectrum of the Q-vertex corona, Q-edge corona, Q-vertex neighborhood corona, and Q-edge neighborhood corona of a connected regular graph with an arbitrary regular graph in terms of normalized Laplacian
Das Arpita, Panigrahi Pratima
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