Now a trio of computer scientists has solved this long-standing problem. Their new algorithm, which finds the shortest paths through a graph from a given “source” node to every other node, nearly ...

Let G' be the resulting graph after the subdivisions. It is easy to see that a shortest even cycle in G' corresponds to a shortest cycle in G with positive signature. For finding the shortest even ...

Chapter 4. Theorem 4.3.2 (Thomassen [Th90b]). There is a polynomially bounded algorithm which, for a given Π-embedded graph G, finds a shortest Π-noncontractible cycle, a shortest Π-nonseparating ...

I need to figure out how to find the shortest path between two vertices in an adjacency matrix representation of an undirected graph. I get the impression that I'm supposed to use Dijkstra's ...

Shortest Path: The most efficient route between two vertices in a graph, minimising distance, cost or time. Node Cut Set: A subset of vertices whose removal disconnects the graph, used to simplify ...