AbstractM. Lewin and Y. Vitek conjecture that every integer ⩽[12wn] + 1 = [12(n2−2n + 2)] + 1 is the exponent of some n×n primitive matrix. In this paper we prove that this conjecture is true except for n = 11. The problem of determining the exponent set En is completely solved
Abstract. A Boolean matrix A is said to be r−regular if each vertex in its digraph G(A) = G has out...
AbstractLet r, n be integers, −n < r < n. An n × n matrix A is called r-indecomposable if it contain...
AbstractLet A be a primitive matrix of order n, and let k be an integer with 1⩽k⩽n. The kth local ex...
AbstractM. Lewin and Y. Vitek conjecture [7] that every integer ⩽[(n>2−2n+2)2]+1 is an exponent of s...
AbstractM. Lewin and Y. Vitek conjecture that every integer ⩽[12wn] + 1 = [12(n2−2n + 2)] + 1 is the...
AbstractAn n × n nonnegative matrix A is called primitive if for some positive integer k, every entr...
AbstractFor a primitive, nearly reducible matrix, J.A. Ross defined e(n) to be the least integer gre...
AbstractFor a primitive matrix A of order n + k having a primitive submatrix of order n, we prove th...
AbstractWe present a bound on the exponent exp(A) of an n × n primitive matrix A in terms of its boo...
AbstractAn n × n nonnegative matrix A is called primitive if for some positive integer k, every entr...
AbstractSuppose A is an n × n nonnegative primitive matrix whose minimal polynomial has degree m. We...
AbstractWe consider n × n primitive nearly reducible matrices for n⩾5. As defined by Ross, let e(n) ...
A set of nonnegative matrices M = {M1, M2, . . . , Mk} is called primitive if there exist indices i1...
A set of nonnegative matrices M = {M1, M2, . . . , Mk} is called primitive if there exist possibly e...
AbstractWe characterize the equality case of the upper bound γ(D) ⪕ n + s(n − 2) for the exponent of...
Abstract. A Boolean matrix A is said to be r−regular if each vertex in its digraph G(A) = G has out...
AbstractLet r, n be integers, −n < r < n. An n × n matrix A is called r-indecomposable if it contain...
AbstractLet A be a primitive matrix of order n, and let k be an integer with 1⩽k⩽n. The kth local ex...
AbstractM. Lewin and Y. Vitek conjecture [7] that every integer ⩽[(n>2−2n+2)2]+1 is an exponent of s...
AbstractM. Lewin and Y. Vitek conjecture that every integer ⩽[12wn] + 1 = [12(n2−2n + 2)] + 1 is the...
AbstractAn n × n nonnegative matrix A is called primitive if for some positive integer k, every entr...
AbstractFor a primitive, nearly reducible matrix, J.A. Ross defined e(n) to be the least integer gre...
AbstractFor a primitive matrix A of order n + k having a primitive submatrix of order n, we prove th...
AbstractWe present a bound on the exponent exp(A) of an n × n primitive matrix A in terms of its boo...
AbstractAn n × n nonnegative matrix A is called primitive if for some positive integer k, every entr...
AbstractSuppose A is an n × n nonnegative primitive matrix whose minimal polynomial has degree m. We...
AbstractWe consider n × n primitive nearly reducible matrices for n⩾5. As defined by Ross, let e(n) ...
A set of nonnegative matrices M = {M1, M2, . . . , Mk} is called primitive if there exist indices i1...
A set of nonnegative matrices M = {M1, M2, . . . , Mk} is called primitive if there exist possibly e...
AbstractWe characterize the equality case of the upper bound γ(D) ⪕ n + s(n − 2) for the exponent of...
Abstract. A Boolean matrix A is said to be r−regular if each vertex in its digraph G(A) = G has out...
AbstractLet r, n be integers, −n < r < n. An n × n matrix A is called r-indecomposable if it contain...
AbstractLet A be a primitive matrix of order n, and let k be an integer with 1⩽k⩽n. The kth local ex...
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