It is known that minimum cost flow problems can be solved by successive augmentations along shortest paths. In this paper the issues of implementing shortest path algorithms in this context are ...

Regular sections include letters, extensive book reviews and a problem corner. The Association exists to bring about improvements in the teaching of mathematics and its applications, and to provide a ...

One of the most classic algorithmic problems deals with calculating the shortest path between two points. A more complicated variant of the problem is when the route traverses a changing network ...

But solving the single source shortest path problem has allowed researchers to create a superb algorithm that becomes almost impossible to beat with regards to speed.

They could prove that the algorithm would run quickly if no shortest path passed through too many deleted segments — otherwise, the last step would take too long. But how to decide which segments to ...