On the minimum perron value for an irreducible tournament matrix

Linear Algebra and Its Applications

Volumn 244, Issue , 1996, Pages 277-304

  Kirkland, Steve ^a  

^a UNIVERSITY OF REGINA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030503133     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(94)00236-3     Document Type: Article

References (13)

1. L. W. Beineke and K. B. Reid, Tournaments, in Selected Topics in Graph Theory 1 (L. W. Beineke and R. J. Wilson, Eds.), Academic, New York, 1978.
2. J. A. Bondy and U. S. R. Murty, Graph Theory with Applications, Macmillan, London, 1977.
3. R. A. Brualdi and Li Qiao, The interchange graph of tournaments with the same score vector, in Progress in Graph Theory (J. A. Bondy and U. S. R. Murty, Eds.), Academic, Toronto, 1984.
4. R. A. Brualdi and Li Qiao, Research problem 31, Discrete Math. 43:329-330 (1983).
5. R. A. Brualdi and H. J. Ryser, Combinatorial Matrix Theory, Cambridge, U.P., Cambridge, 1991.
6. D. M. Cvetkovic, M. Doob, and H. Sachs, Spectra of Graphs, Academic, New York, 1980.
7. D. de Caen, D. A. Gregory, S. J. Kirkland, N. J. Pullman, and J. S. Maybee, Algebraic multiplicity of the eigenvalues of a tournament matrix, Linear Algebra Appl. 169:179-193 (1992).
8. S. Friedland, Eigenvalues of almost skew-symmetric matrices and tournament matrices, in Combinatorial and Graph Theoretic Problems in Linear Algebra, IMA Vol. Math. Appl. 50 (R. A. Brualdi, S. Friedland and V. Klee, Eds.), Springer-Verlag, New York, 1993, 189-206.
9. S. Kirkland, Hypertournament matrices, score vectors and eigenvalues, Linear and Multilinear Algebra 30:261-274 (1991).
10. S. Kirkland, A reversal index for tournament matrices, Linear and Multilinear Algebra 34:343-351 (1993).
11. S. Kirkland, Spectral radii of tournament matrices whose graphs are related by an arc reversal, Linear Algebra Appl. 217:179-202 (1995).
12. J. W. Moon, Topics on Tournaments, Holt, Rhinehart and Winston, New York, 1968.
13. E. Seneta, Non-negative Matrices and Markov Chains, Springer-Verlag, New York, 1981.