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Cycle Lengths In Aᵏb, Charles M. Grinstead
Cycle Lengths In Aᵏb, Charles M. Grinstead
Mathematics & Statistics Faculty Works
Let A be a nonnegative, n n matrix, and let b be a nonnegative, nxn vector. Let S be the sequence {Akb }, k = 0, l, 2, .... Define m(A, b) to be the length of the cycle of zero-nonzero patterns into which S eventually falls. Define m(A) to be the maximum, over all nonnegative b of m(A, b). Finally, define m(n) to be the maximum, over all nonnegative, nxn matrices A of m(A). This paper shows given A and b, that m(A, b) is a divisor of a certain number, which is determined by the structure of A …
Review Of “Constructive Combinatorics” By D. Stanton And D. White, Stephen B. Maurer
Review Of “Constructive Combinatorics” By D. Stanton And D. White, Stephen B. Maurer
Mathematics & Statistics Faculty Works
No abstract provided.