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 ...

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.

KALAMAZOO, Mich.—Western Michigan University's international reputation on the topic of graph theory is on display in a new book published recently by Princeton University Press. "The Fascinating ...

Refining with colors Mathematicians have developed various strategies to compare graphs. Since the 1970s, algorithms have been able to test graph isomorphism, but in exponential time.

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 ...

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) ...

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 ...

The field of graph theory has been around since 1736, when Leonhard Euler published an article on the subject of the Seven Bridges of Königsberg (in Prussia, today’s Kaliningrad in Russia).

Agnes M. Herzberg and M. Ram Murty of Queen’s University in Kingston, Ontario have translated the problem of solving a sudoku puzzle into the language of graph theory.

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 ...