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math.CO2013★ 22 cited
Weak CSR expansions and transience bounds in max-plus algebra
Glenn Merlet, Thomas Nowak, Sergei Sergeev
This paper aims to unify and extend existing techniques for deriving upper bounds on the transient of max-plus matrix powers. To this aim, we introduce the concept of weak CSR expa…
math.CO2013★ 16 cited
Generalizations of Bounds on the Index of Convergence to Weighted Digraphs
Glenn Merlet, Thomas Nowak, Hans Schneider +1
We study sequences of optimal walks of a growing length, in weighted digraphs, or equivalently, sequences of entries of max-algebraic matrix powers with growing exponents. It is kn…