A graph-theoretic condition for irreducibility of a set of cone preserving matrices

Published 7 Dec 2011 in math.CO | (1112.1653v2)

Abstract: Given a closed, convex and pointed cone K in R^n, we present a result which infers K-irreducibility of sets of K-quasipositive matrices from strong connectedness of certain bipartite digraphs. The matrix-sets are defined via products, and the main result is relevant to applications in biology and chemistry. Several examples are presented.

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