Geodesic
Combinatorial structure of $k$-semiprimitive matrix families
Sbornik. Mathematics, Tome 207 (2016) no. 5, pp. 639-651

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Protasov's Theorem on the combinatorial structure of $k$-primitive families of non-negative matrices is generalized to $k$-semiprimitive matrix families. The main tool is the binary relation of colour compatibility on the vertices of the coloured graph of the matrix family. Bibliography: 14 titles.
Keywords: Perron-Frobenius Theorem, coloured graphs.
Mots-clés : nonnegative matrices 
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Yu. A. Al'pin; V. S. Al'pina. Combinatorial structure of $k$-semiprimitive matrix families. Sbornik. Mathematics, Tome 207 (2016) no. 5, pp. 639-651. http://geodesic.mathdoc.fr/item/SM_2016_207_5_a0/