The picture above shows our game represented as a graph — a collection of points (called vertices) and segments between them (called edges). The dilemma you face exemplifies a simple but profound idea ...

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 ...

In math, as in life, small choices can have big consequences. This is especially true in graph theory, a field that studies networks of objects and the connections between them. Here’s a little puzzle ...

Graph theory, a nearly 300-year-old discipline considered an element of discrete mathematics, is used to model many types of relationships and processes in physical, biological, social and information ...

D. B. West, Introduction to Graph Theory, Prentice Hall 2001 R. Diestel, Graph Theory, Springer 2010. N. L. Biggs, Discrete Mathematics, OUP 2004 J.A.Bondy and U.S.R. Murty, Graph Theory with ...

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) ...

In 2019, to the delight of the math world, Verstraete and Mubayi used pseudorandom graphs to solve r (3,t). However, Verstraete struggled to build a pseudorandom graph that could help solve r (4,t).

All the latest science news on graph theory from Phys.org. Find the latest news, advancements, and breakthroughs.