X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rairo15.git/blobdiff_plain/07a05f881830e54c344db7060dfbfd74220d0eec..07fc9a29ed26c33dfe987821fc94b3afa4cdd3a5:/stopping.tex?ds=inline diff --git a/stopping.tex b/stopping.tex index 96fd41b..0ad3e8a 100644 --- a/stopping.tex +++ b/stopping.tex @@ -345,4 +345,10 @@ Theorem~\ref{prop:stop} is a direct application of lemma~\ref{prop:lambda} and~\ref{lm:stopprime}. \end{proof} - +Notice that the calculus of the stationary time upper bound is obtained +under the following constraint: for each vertex in the $\mathsf{N}$-cube +there are one ongoing arc and one outgoing arc that are removed. +The calculus does not consider (balanced) hamiltonian cycles, which +are more regular and more binding than this constraint. +In this later context, we claim that the upper bound for the stopping time +should be reduced.