# Shortest

### The shortest

CPSC 490 Graph Theory: Shortest Path The shortest rob lem Consider the problem of finding the shortest path between nodes s and t in a graph (directed or undirected).

### Finding the k Shortest Paths

Finding the k Shortest Paths David Eppstei n ⁄ March 31,1997 Abstract We give algorithms for finding the k shortest paths (not required to be simple) connectinga pair of vertices in a digraph.

### Shortest­Path Routing Reading: Sections 4.2 and 4.3.4 COS ...

1 Shortest­Path Routing Reading: Sections 4.2 and 4.3.4 COS 461: Computer Networks Jennifer Rexford

### The ShortestPath Problem The Shortest Path Problem

Point to Point SP problem Given G(V,E) and two vertices A and B, find a shortest path from A (source) to p () B (destination). Solution: 1) Run the code for Single Source 1) Run the code for Single Source Shortest Path using source as A. 2) Stop algorithm when Bis reached.

### Q UARTERLY L ETTER

GMO QUARTERLY LETTER December 2011 The Shortest Quarterly Letter Ever Jeremy Grantham I’ve been having one of those quarters where everything that can get in the way of writing and thinking does, notably

### On the Diculty of Some Shortest Path Problems

On the Diculty of Some Shortest Path Problems John Hershberge r ⁄Subhash Suri y Amit Bhosl e z Abstract We prove super-linear lower bounds for some shortest path problems in directed graphs, where no such bounds were previously known.

### Shortest paths on dynamic graphs

Shortest paths on dynamic graphs Giacomo Nannicini 1,2, Leo Libert i 1 1 LIX, ´ Ecole Polytechnique, F-91128 Palaiseau, France Email: giacomon,liberti@lix.polytechnique.fr 2 Mediamobile, 10 rue d'Oradoursur Glane, 75015 Paris, France Email: giacomo.nannicini@v-trafic.com March 15,2008 Abstract ...

### On the Complexity of Time-Dependent Shortest Paths

On the Complexity of Time-Dependent Shortest Paths Luca Foschini John Hershberge r †Subhash Suri ‡ Abstract We investigate the complexity of shortest paths in time-dependent graphs, in which the costs of edges vary asa function of time, and as a result the shortest path between two nodes ...

### 14 All-Pairs Shortest Paths

Algorithms Lecture 14: All-Pairs Shortest Paths The tree which fills the arms grew from the tiniest sprout; the tower of nine storeys rose froma (small) heap of earth; the journey of a thousand li commenced with a single step.

### Shortest Path in a Graph • - Data Structures in Java, Prof ...

ECE242 Fall 2007 Data Structures in Java, Prof. Mettu Shortest Path in a Graph • Optimizing the distance between two vertices is desirable for many applications.