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math.OC2020
On Integer Balancing of Digraphs
Mohamed-Ali Belabbas, Xudong Chen
A weighted digraph is balanced if the sums of the weights of the incoming and of the outgoing edges are equal at each vertex. We show that if these sums are integers, then the edge…
math.OC2020
Triangulated Laman Graphs, Local Stochastic Matrices, and Limits of Their Products
Mohamed Ali Belabbas, Xudong Chen
We derive conditions on the products of stochastic matrices guaranteeing the existence of a unique limit invariant distribution. Belying our approach is the hereby defined notion o…