Eigenvalues of matrices with special patterns using symmetry of graphs

Scientia Iranica

Volumn 10, Issue 2, 2003, Pages 220-226

  Kaveh, A ^a   Sayarinejad, M A ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUE; GRAPHICAL METHOD;

EID: 0141613692     PISSN: 10263098     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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2. Jennings, A. and McKeown, J.J., Matrix Computation, John Wiley and Sons (1992).
3. Livesley, R.K., Mathematical Methods for Engineers, Ellis Horwood Ltd, Chichester, UK (1989).
4. Biggs, N.E., Algebraic Graph Theory, Cambridge University Press, 2nd Edition, Cambridge (1993).
5. Kaveh, A., Optimal Structural Analysis, Research Studies Press, John Wiley, UK (1997).
6. Paulino, G.H., Menezes, I.F.M., Cattas, M. and Mukherjee, S. "Node and element resequencing using Laplacian of finite element graph: Part I- general concepts and algorithms", Int. J. Numer. Meths Engng, 37, pp 1511-1530 (1994).
7. Mohar, B. "Eigenvalues, diameter and mean distance in graphs", Graphs and Combinatorics, 7, pp 53-64 (1991).
8. Mohar, B. "The Laplacian spectrum of graphs, in a book entitled", Graph Theory, Combinatorics and Applications, Y. Alavi, Ed., John Wiley and Sons, New York, pp 871-898 (1991).
9. Simon, H.D. "Partitioning of un-structured problems for parallel processing", Computing Systems in Engineering, 2, pp 135-148 (1991).