On The Third Ramsey Numbers of Graphs with Five Edges

Yang Yuansheng1, Peter Rowlinson2
1Department of Computer Science and Engineering Dalian University of Technology 116024 Dalian Liaoning Province People’s Republic of China
2Department of Mathematics University of Stirling Stirling FK9 4LA Scotland

Abstract

With the help of a computer, the third Ramsey number is determined for each of the \(25\) graphs with five edges, five or more vertices, and no trivial components.