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math.CO2026
The INIEP: Irreducible and Positive Realizations
C. R. Johnson, C. Marijuán, M. Pisonero
Our focus is upon {\it irreducible} nonnegative -by- matrix realizations of nonnegatively realizable spectra or, equivalently, characteristic polynomials. After giving some g…
math.CO2020
On decomposable and reducible integer matrices
Carlos Marijuán, Ignacio Ojeda, Alberto Vigneron-Tenorio
We propose necessary and sufficient conditions for an integer matrix to be decomposable in terms of its Hermite normal form. Specifically, to each integer matrix of maximal row ran…
math.CO2010
Minimal strong digraphs
Jesús García-López, Carlos Marijuán
We introduce adequate concepts of expansion of a digraph to obtain a sequential construction of minimal strong digraphs. We characterize the class of minimal strong digraphs whose…