Results on measures of irreducibility and full indecomposability

Hartfiel, D. J.

doi:10.1090/S0002-9947-1975-0364303-1

Results on measures of irreducibility and full indecomposability
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by D. J. Hartfiel PDF

Trans. Amer. Math. Soc. 202 (1975), 357-368 Request permission

Abstract:

This paper develops a notion of $k$th measure of irreducibility and $k$th measure of full indecomposability. The combinatorial properties of these notions, as well as relationships between these notions, are explored. The results are then used in converting results on positive matrices into results on nonnegative matrices.

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