The study of such graphs is called graph theory. Engineers need to find planarity in a graph when, for example, they are designing a computer chip without a crossed wire.

Mathematicians have long sought to develop algorithms that can compare any two graphs. In practice, many ...

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 ...

This past October, as Jacob Holm and Eva Rotenberg were thumbing through a paper they’d posted a few months earlier, they realized they had been sitting on something big.. For decades computer ...

Graph theory isn’t enough. ... computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer science. Ben Brubaker.

Definitions of expander graphs (edge expansion and spectral expansion), equivalence of definitions, the Alon-Boppana theorem, expansion of random graphs, Margulis's construction, expansion in lifts of ...

Thus, in the language of graph theory, ... Science News was founded in 1921 as an independent, nonprofit source of accurate information on the latest news of science, ...

Graph Theory, the bedrock of network science, has found extensive application in dissecting the attributes of complex networks, including those of the brain.