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On the second smallest eigenvalue of the Laplacian

Al-Jasem, Waleed Ebrahim (1993) On the second smallest eigenvalue of the Laplacian. Masters thesis, King Fahd University of Petroleum and Minerals.


Arabic Abstract


English Abstract

The eigenvalues of a graph in this thesis are the eigenvalues of its Laplacian matrix. Let denote the second smallest eigenvalue and its corresponding eigenvector, respectively. A tree is said to be of type I if f has one or more zeros. A certain class of family having three pendant vertices is characterized to be of type I. Various properties in this class are investigated. Furthermore, centers and centroids are defined and characterized on that family. Centers, centroids and characteristic vertices of certain classes of caterpillars are investigated.

Item Type:Thesis (Masters)
Date:June 1993
Date Type:Completion
Divisions:College Of Sciences > Mathematical Science Dept
Creators:Al-Jasem, Waleed Ebrahim
Committee Advisor:Alameddine, Ahmad F.
Committee Members:Al-Bar, Mohammad A. and Abu-Sbeih, Mohammad Z.
ID Code:10030
Deposited By:KFUPM ePrints Admin
Deposited On:22 Jun 2008 16:54
Last Modified:25 Apr 2011 10:00

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