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The Spectral Radius of Submatrices of Laplacian Matrices for Trees and Its Comparison to the Fiedler Vector
Mathematics Faculty Publications
  • Jason J. Molitierno, Sacred Heart University
Document Type
Article
Publication Date
9-1-2005
Disciplines
Abstract
We consider the effects on the spectral radius of submatrices of the Laplacian matrix for graphs by deleting the row and column corresponding to various vertices of the graph. We focus most of our attention on trees and determine which vertices v will yield the maximum and minimum spectral radius of the Laplacian when row v and column v are deleted. At this point, comparisons are made between these results and results concerning the Fiedler vector of the tree.
Comments

Originally published:

Molitierno, Jason J. "The Spectral Radius Of Submatrices Of Laplacian Matrices For Trees And Its Comparison To The Fiedler Vector." Linear Algebra & Its Applications 406 (2005): 253-271.

Citation Information
Jason J. Molitierno. "The Spectral Radius of Submatrices of Laplacian Matrices for Trees and Its Comparison to the Fiedler Vector" (2005)
Available at: http://works.bepress.com/jason_molitierno/5/