In this paper we introduce and investigate a new" path optimization problem which we denote as the All Hops Optimal Path AHOP problem. The problem involves identifying, for a...
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
We describe algorithms to compute the shortest path homotopic to a given path, or the shortest cycle freely homotopic to a given cycle, on an orientable combinatorial surface. Unli...