New directions in Ramsey theory
Gary Chartrand, Ping Zhang
Abstract
New developments in the study of Ramsey theory for graphs are described. In particular, it is discussed how Ramsey theory has evolved from classical Ramsey numbers to more general Ramsey numbers, bipartite Ramsey numbers, k-Ramsey numbers, s-bipartite Ramsey numbers, Ramsey sequences of graphs, and ascending Ramsey indices.
Topics & Concepts
Ramsey theoryMathematical economicsMathematicsComputer scienceCombinatoricsAdvanced Topology and Set TheoryLimits and Structures in Graph Theory