The eigenvalues of a graph under edge operations (original) (raw)

On Laplacian eigenvalues of connected graphs

Edin Glogić, PhD

Czechoslovak Mathematical Journal, 2015

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On the Laplacian eigenvalue 222 of graphs

masoumeh farkhondeh

2019

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On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

Maruti Shikare

2018

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The Laplacian spectrum of graphs

Ortrud Oellermann

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The effect on eigenvalues of connected graphs by adding edges

Wai Shiu

Linear Algebra and its Applications, 2018

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On the second largest Laplacian eigenvalues of graphs

Wai Shiu

Linear Algebra and its Applications, 2013

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Some applications of Laplace eigenvalues of graphs

Bojan Mohar

Graph Symmetry, 1997

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On the sum of Laplacian eigenvalues of graphs

Willem Haemers

Linear Algebra and its Applications, 2010

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Some remarks on Laplacian eigenvalues and Laplacian energy of graphs

Alireza Ashrafi

2010

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Some Notes on the Laplacian Energy of Extended Adjacency Matrix

GÜLİSTAN KAYA GÖK

2020

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On Distribution of Laplacian Eigenvalues of Graphs

Bilal A. Rather

2021

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Laplace eigenvalues of graphs—a survey

Bojan Mohar

Discrete Mathematics, 1992

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A bstrac t. Let G be an (n, m)-graph and µ1, µ2,..., µn its Laplacian eigenvalues. The Laplacian energy LE of G is defined as

Alireza Ashrafi

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An improved upper bound for Laplacian graph eigenvalues

Kinkar Das

Linear Algebra and its Applications, 2003

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On the Laplacian spectral ratio of connected graphs

e hamilton

Applied Mathematics Letters, 2012

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On the Laplacian eigenvalues of a graph and Laplacian energy

Hilal A . Ganie

Linear Algebra and its Applications, 2015

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The Laplacian eigenvalues of mixed graphs

Rong Luo

Linear Algebra and its Applications, 2003

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On the Laplacian energy of a graph

Mirjana Lazic

Czechoslovak Mathematical Journal, 2006

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On Laplacian energy of graphs

Kinkar Das

Discrete Mathematics, 2014

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On sum of powers of the Laplacian eigenvalues of graphs

Kinkar Das

Linear Algebra and its Applications, 2008

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A note on sum of powers of the Laplacian eigenvalues of graphs

Ting-zhu Huang

Applied Mathematics Letters, 2011

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On the Laplacian energy of graphs

S. Ahmad Mojallal

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On graph Laplacian eigenvectors with components in {−1,0,1}

J.-g. Caputo

Discrete Applied Mathematics

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The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value

Charles Johnson

Special Matrices

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On energy and Laplacian energy of graphs

S. Ahmad Mojallal

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The Laplacian spectral radius of graphs

Wai Shiu

Czechoslovak Mathematical Journal, 2010

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An explicit formula for differences between Laplacian-eigenvector components using coalesced graphs

Sandip Roy

Linear Algebra and its Applications, 2010

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Laplacian energy of a graph

Bhagyashri Athawale

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The normalized Laplacian spectrum of subdivisions of a graph

Francesc Comellas

Applied Mathematics and Computation, 2016

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A Note on Normalized Laplacian Energy of Graphs

Mardjan Hakimi-Nezhaad

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Eigenfunctions of the Edge-Based Laplacian on a Graph

Furqan Aziz

2013

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Energy and Laplacian energy of graphs

S. Ahmad Mojallal

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Graph Laplacians and topology

Pavel Kurasov

Arkiv för Matematik, 2008

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Some results on the Laplacian eigenvalues of unicyclic graphs

Wai Shiu

Linear Algebra and its Applications, 2009

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An interlacing approach for bounding the sum of Laplacian eigenvalues of graphs

Willem Haemers

Linear Algebra and its Applications, 2014

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