In a graph with negative cycles reachable from the starting point, the notion of a shortest path breaks down, since you can make the distance to any node as negative (or as profitable) as you like, by ...

There is a simple polynomial-time algorithm for finding a shortest two-sided cycle of an embedded graph. Note that this problem does not use the embedding except for the signatures. So, this is also ...

Problem 4.3.3. (a) Is there a polynomially bounded algorithm that finds a shortest Π-contractible cycle of a Π-embedded graph G? (b) Is there a polynomially bounded algorithm that finds a shortest ...

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 ...

Graph: A mathematical structure consisting of vertices (nodes) and edges (links) that model pairwise relations between objects. Shortest Path: The most efficient route between two vertices in a ...

// and ending with item2. The list has one item if item1 and item2 are the // same, or no items if the path does not exist.