Results 81 to 90 of about 2,064,253 (190)

Interlacing Properties of Eigenvalues of Laplacian and Net-Laplacian Matrix of Signed Graphs

open access: yes, 2023
This paper explores interlacing inequalities in the Laplacian spectrum of signed cycles and investigates interlacing relationship between the spectrum of the net-Laplacian of a signed graph and its subgraph formed by removing a vertex together with its ...
Guragain, Satyam, Srivastava, Ravi
core  

On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs

open access: yes, 2016
Coalescence as one of the operations on a pair of graphs is significant due to its simple form of chromatic polynomial. The adjacency matrix, Laplacian matrix, and signless Laplacian matrix are common matrices usually considered for discussion under ...
S. Jog, Raju Kotambari
semanticscholar   +1 more source

Laplacian spectrum of weakly quasi-threshold graphs

open access: yes, 2008
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) adding a new vertex and making it adjacent to all old vertices, (iii) disjoint
Pati, Sukanta, Bapat, R. B., Lal, A. K.
core   +1 more source

Spectrum of the Laplacian matrix of non-commuting graph of dihedral group D2n [PDF]

open access: yes, 2013
Let G be a graph with vertex set V = {v1,v2,..., vp}, A(G) is adjacency matrix of G and D(G) is diagonal matrix with entry dii = deg(vi), i = 1, 2, …, p. The Laplacian matrix of G is L(G) = D(G) – A(G).
Elvierayani, Rivatul Ridho   +1 more
core  

Universal Adjacency Matrices with Two Eigenvalues

open access: yes
AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Omidi, G.R., Haemers, W.H.
core  

Modified absolute value cumulating spectrum sensing algorithm in cognitive radio

open access: yesDianxin kexue, 2017
Absolute value cumulating (AVC) algorithm is a common spectrum sensing method in Laplacian noise (LED) surroundings,however,the ‘spikes or outliers' in Laplacian noise can't be fully smoothed,which results in bad detection performance.Aiming at this ...
Zhiyong HE
doaj   +2 more sources

A New Like Quantity Based on “Estrada Index”

open access: yesJournal of Inequalities and Applications, 2010
We first define a new Laplacian spectrum based on Estrada index, namely, Laplacian Estrada-like invariant, LEEL, and two new Estrada index-like quantities, denoted by S and EEX, respectively, that are generalized versions of the Estrada index. After that,
A. Dilek Güngör
doaj   +1 more source

On the Fucik spectrum of the p-Laplacian

open access: yes, 2015
We prove the existence of a first non-trivial curve in the Fucik spectrum of the p-Laplacian. This yields in particular a variational characterization of the second eigenvalue of the p-Laplacian by a mountain pass procedure.
Gossez, JP, Cuesta, M, De Figueiredo, DG
core   +1 more source

Resistance distance and the normalized Laplacian spectrum

open access: yes, 2007
It is well known that the resistance distance between two arbitrary vertices in an electrical network can be obtained in terms of the eigenvalues and eigenvectors of the combinatorial Laplacian matrix associated with the network. By Studying this matrix,
Chen, HY, Zhang, FJ, 张福基
core   +2 more sources

LAPLACIAN SPECTRUM, EFFECTIVE RESISTANCE AND ROBUSTNESS IN ELECTRICAL NETWORK OF FULLERENE C 60

open access: yes, 2020
In this work, the Laplacian spectrum of some well-known graphs such as fullerene C 60 and hyper cubes is computed.
Ehsan Limouchi Deli
core  

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