The exponent and circumdiameter of primitive digraphs

DOI10.1016/j.laa.2004.09.004zbMath1059.05054OpenAlexW2165370261MaRDI QIDQ1763834

L. F. Dame, Pauline van den Driessche, D. Dale Olesky

Publication date: 22 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.09.004

zbMATH Keywords

exponentprimitive digraphLeslie matrixcircumdiameterFrobenius-Schur index

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Directed graphs (digraphs), tournaments (05C20)

Related Items (1)

Primitive digraphs with smallest large exponent

Cites Work

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• Wielandt's proof of the exponent inequality for primitive nonnegative matrices
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• A bound on the exponent of primitivity in terms of diameter
• Gaps in the exponent set of primitive matrices
• Ergodic properties of populations. I: The one sex model
• Unzerlegbare, nicht negative Matrizen
• On the linear diophantine problem of Frobenius.
• On the Exponent of a Primitive, Nearly Reducible Matrix. II
• Digraphs with large exponent
• The Structure of Powers of Nonnegative Matrices I. The Index of Convergence

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