Matrix period in max-algebra

Periodicity of matrices in max-algebra is studied. A necessary and sufficient condition is found for a given matrix to be almost periodic. The period of a matrix is shown to be the least common multiple of the high periods of all non-trivial highly connected components in the corresponding digraph o...

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Bibliographic Details
Published in:	Discrete Applied Mathematics Vol. 103; no. 1; pp. 167 - 175
Main Authors:	MOLNAROVA, M, PRIBIS, J
Format:	Journal Article
Language:	English
Published:	Lausanne Elsevier B.V 15.07.2000 Amsterdam Elsevier New York, NY
Subjects:	Algebra Combinatorics Combinatorics. Ordered structures Exact sciences and technology Graph theory Linear and multilinear algebra, matrix theory Mathematical logic, foundations, set theory Mathematics Matrix period Max-algebra Sciences and techniques of general use Set theory secondary 05C50 primary 04A72 15A33 Max-algebra Matrix period Necessary and sufficient condition Max algebra Connected component NP complete problem Connectedness Dynamical system Directed graph Complexity
ISSN:	0166-218X, 1872-6771
Online Access:	Get full text
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