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

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

2011-12-07

arxiv.org/abs/1112.1653v1

Mathematics

Combinatorics

Scientific paper

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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