26 citations · 68 across the 9 of their papers we have counts for
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math.RA2016★ 26 cited
Identities in Upper Triangular Tropical Matrix Semigroups and the Bicyclic Monoid
Laure Daviaud, Marianne Johnson, Mark Kambites
We establish necessary and sufficient conditions for a semigroup identity to hold in the monoid of upper triangular tropical matrices, in terms of equivalence of certai…
cs.FL2016★ 4 cited
Comparison of max-plus automata and joint spectral radius of tropical matrices
Laure Daviaud, Pierre Guillon, Glenn Merlet
Weighted automata over the max-plus semiring S are closely related to finitely generated semigroups of matrices over S. In this paper, we use results in automata theory to study tw…