A note on the Ramsey number for small graphs

Abstract

Problems in the Ramsey theory form a well-known family of mathematical problems. We present the exact value of the Ramsey number R(θ6, W5), where θ6 is the set of theta graphs of order 6 and W5 is the wheel graph of order 5. This result solves the challenging problem of finding exact values of R(θn, W5) for every n ≥ 5.