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 ...

Annals of Mathematics, SECOND SERIES, Vol. 182, No. 1 (July, 2015), pp. 307-325 (19 pages) We prove that there exist infinite families of regular bipartite Ramanujan graphs of every degree bigger than ...

Oliver Kley, Claudia Klüppelberg, Gesine Reinert, Risk in a Large Claims Insurance Market with Bipartite Graph Structure, Operations Research, Vol. 64, No. 5, Special Issue on Systemic Risk: Models ...

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).