We propose a new graph metric and study its properties. In contrast to the standard geodesic distance in connected graphs, it takes into account all paths between vertices. Simple formulas for the increments of forest distances under basic transformations of a weighted multigraph are presented...

The ability to accurately estimate the extent to which the failure of a bank disrupts the financial system is very valuable for regulators of the financial system. One important part of the financial system is the interbank payment system. This paper develops a robust measure, SinkRank, that...