A result related to the largest eigenvalue of a tree

Gurusamy Rengasamy Vijayakumar

Displaying similar documents to “A result related to the largest eigenvalue of a tree”

Equality in Wielandt’s eigenvalue inequality

Shmuel Friedland (2015)

Special Matrices

Similarity:

In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.

Spectral integral variation of trees

Yi Wang, Yi-Zheng Fan (2006)

Discussiones Mathematicae Graph Theory

Similarity:

In this paper, we determine all trees with the property that adding a particular edge will result in exactly two Laplacian eigenvalues increasing respectively by 1 and the other Laplacian eigenvalues remaining fixed. We also investigate a situation in which the algebraic connectivity is one of the changed eigenvalues.

Dependence of a differential equation on the first eigenvalue of a suitable problem

Jan Bochenek (1980)

Annales Polonici Mathematici

Similarity:

Some properties of Laplacian eigenvalues for generalized star graphs

Kinkar Ch. Das (2005)

Kragujevac Journal of Mathematics

Similarity:

Eigenvalue Conditions for Induced Subgraphs

Jochen Harant, Julia Niebling, Sebastian Richter (2015)

Discussiones Mathematicae Graph Theory

Similarity:

Necessary conditions for an undirected graph G to contain a graph H as induced subgraph involving the smallest ordinary or the largest normalized Laplacian eigenvalue of G are presented.

On some properties of eigenvalues and eigenfunctions of certain differential equations of the fourth order

Jan Bochenek (1971)

Annales Polonici Mathematici

Similarity:

Algebraic connectivity of trees

Robert Grone, Russell Merris (1987)

Czechoslovak Mathematical Journal

Similarity:

Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

Behrouz Emamizadeh, Amin Farjudian (2014)

Nonautonomous Dynamical Systems

Similarity:

In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will...

On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues

Ivo Marek (1964)

Matematicko-fyzikálny časopis

Similarity: