Digraphs with large exponent

Electronic Journal of Linear Algebra

Volumn 7, Issue , 2000, Pages 30-40

  Kirkland, S ^a   Olesky, D D ^b   Van Den Driessche, P ^b  

^a UNIVERSITY OF REGINA   (Canada)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Exponent; Primitive directed graph

Indexed keywords

EID: 3042616255     PISSN: 10813810     EISSN: None     Source Type: Journal    
DOI: 10.13001/1081-3810.1044     Document Type: Article

References (7)

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2. R.A. Brualdi and H.J. Ryser. Combinatorial Matrix Theory. Cambridge University Press, 1991.
3. D. Huang. On circulant Boolean matrices. Linear Algebra Appl. 136:107-117, 1990.
4. S. Kirkland. A note on the eigenvalues of a primitive matrix with large exponent. Linear Algebra Appl. 253:103-112 (1997).
5. S. Kirkland and M. Neumann. Regular Markov chains for which the transition matrix has large exponent. Preprint, 1999.
6. M. Lewin and Y. Vitek. A system of gaps in the exponent set of primitive matrices. Illinois J. Math., 25:87-98, 1981.
7. G.W. Stewart. Introduction to Matrix Computations. Academic Press, 1973.