A graph in this case is any number of points, called nodes, connected by pairwise relations, called edges. In other words, an edge is a curve that connects two nodes.

Graphs that are well connected despite being sparse — having only a small number of edges — are known as expander graphs. These are important in many areas of math, physics and computer science, but ...

As mathematical abstractions go, graphs are among the simplest. Scatter a bunch of points in a plane. Connect some of them with lines. That’s all a graph is. And yet they are incredibly powerful. They ...

A puzzle that has long flummoxed computers and the scientists who program them has suddenly become far more manageable. A new algorithm efficiently solves the graph isomorphism problem, computer ...

Computer scientists are constantly searching for ways to squeeze ever more bandwidth from communications networks. Now a new approach to understanding a basic concept in graph theory, known as ...

Expanders graphs are sparse but well-connected. ... Computer Science McCormick School of Engineering, Northwestern University. Mudd Hall 2233 Tech Drive, Third Floor, Evanston, IL 60208. Phone: ...

Chien will lead a team of UChicago computer science researchers including Henry Hoffmann, Yanjing Li, and Michael Maire; the team also includes graph computing experts from Purdue University and ...

Graph theory is both an area of mathematics and an important tool in computer science. In this context, a graph can be illustrated by a diagram consisting of a number of points (nodes, vertices ...

By bringing the power of computer science to fields such as journalism, education, robotics, and art, ... trees and more general graphs. ... Introduction to graphs, Properties of graphs. Connectivity, ...

A mathematical concept known as a de Bruijn graph turns the formidable challenge of assembling a contiguous genome from billions of short sequencing reads into a tractable computational problem.