Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix.
Johnson, Charles R., Saiago, Carlos M. (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Displaying similar documents to “Largest eigenvalues of the discrete p-Laplacian of trees with degree sequences.”
Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix.
Extremal algebraic connectivities of certain caterpillar classes and symmetric caterpillars.
Rojo, Oscar, Medina, Luis, De Abreu, Nair M.M., Justel, Claudia (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
On two conjectures regarding an inverse eigenvalue problem for acyclic symmetric matrices.
Barioli, Franceso, Fallat, Shaun M. (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
On Cayley's formula for counting trees in nested interval graphs.
Coppersmith, Don, Lotker, Zvi (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Note on deleting a vertex and weak interlacing of the Laplacian spectrum.
Lotker, Zvi (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Algebraic connectivity of trees with a pendant edge of infinite weight.
Berman, A., Förster, K.-H. (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Distance spectral radius of trees with fixed maximum degree.
Stevanovic, Dragan, Ilic, Aleksandar (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
The P-Laplacian spectral radius of weighted trees with a degree sequence and a weight set.
Zhang, Guang-Jun, Zhang, Xiao-Dong (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Small integral trees.
Brouwer, A.E. (2008)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
The distance matrix of a bidirected tree.
Bapat, Ravindra B., Lal, Arbind K., Pati, Sukanta (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
On the multiplicity of Laplacian eigenvalues of graphs
Ji-Ming Guo, Lin Feng, Jiong-Ming Zhang (2010)
Czechoslovak Mathematical Journal
Similarity:
In this paper we investigate the effect on the multiplicity of Laplacian eigenvalues of two disjoint connected graphs when adding an edge between them. As an application of the result, the multiplicity of 1 as a Laplacian eigenvalue of trees is also considered.