Abstract
We introduce and discuss a class of difference equations motivated by a problem from combinatorial optimization on graphs. The local behavior at stationary points is investigated in detail, and in the course of this investigation we prove a stability result for certain types of non-isolated stationary points. Results include a complete characterization of the behavior on chain graphs, and a characterization of the local behavior for circular graphs.
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Liebscher, V., Walcher, S. On the mean value of probability measures on circular graphs. Results. Math. 39, 58–90 (2001). https://doi.org/10.1007/BF03322676
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DOI: https://doi.org/10.1007/BF03322676