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 ...

This will include a discussion of several classical questions such as the Minimum Spanning Tree Problem, the Max-Cut Problem, or the Traveling Salesman Problem. Sample topics: building blocks of a ...

The graphs that mathematicians study can get very large and complicated, so it helps to have some simple features to look at. One such feature is the sum of all the degrees of a graph. Right away, ...

, Frank Harary, Generalized Ramsey Theory for Graphs. II. Small Diagonal Numbers, Proceedings of the American Mathematical Society, Vol. 32, No. 2 (Apr., 1972), pp ...

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.

The book is intended to appeal to a broad audience. KALAMAZOO, Mich.—Western Michigan University's international reputation on the topic of graph theory is on display in a new book published recently ...

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).

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 ...

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 ...