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Spectral characterization of trees.

Fairag, Faisal Abdul-Karim (1989) Spectral characterization of trees. Masters thesis, King Fahd University of Petroleum and Minerals.


Arabic Abstract


English Abstract

The eigenvalues of a graph are the eigenvalues of its adjacency matrix. Let ?1and ?2 denote the largest and the second largest eigenvalue, respectively. The family of trees having only three end vertices and satisfying a certain equality involving ?1and ?2 is characterized. Also, bounds on ?2 for the above family of trees are investigated.

Item Type:Thesis (Masters)
Date Type:Completion
Divisions:College Of Sciences > Mathematical Science Dept
Creators:Fairag, Faisal Abdul-Karim
Committee Advisor:Alameddine, Ahmad F.
Committee Members:Al-Bar, Mohammad A. and Abu-Sbeih, Mohammad Z.
ID Code:9873
Deposited By:KFUPM ePrints Admin
Deposited On:22 Jun 2008 16:51
Last Modified:25 Apr 2011 09:30

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