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.

Long monochromatic paths in random graphs presented by Andrzej Dudek, Ph.D., Department of Mathematics, Western Michigan University Abstract: Recall that the size-Ramsey number of F, r^ (F, r), is the ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

More by Gary Stix This article was originally published with the title “Graph Theory and Teatime” in Scientific American Magazine Vol. 296 No. 3 (March 2007) ...

This guarantees that every graph has an even subgraph that’s at least half as big as the original. But how big an odd subgraph can be has been an open research question in graph theory for over 60 ...

News Published: 19 November 2015 Graph-theory breakthrough tantalizes mathematicians Chris Cesare Nature (2015) Cite this article ...

Nicholas R. Miller, Graph-Theoretical Approaches to the Theory of Voting, American Journal of Political Science, Vol. 21, No. 4 (Nov., 1977), pp. 769-803 ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks—vertices (dots) and edges (lines connecting them)—has been an invaluable ...