Speaker
Jeong Han Kim
(KIAS)
Description
Ramsey numbers, denoted as R(s,t), are fundamental in graph theory, representing the smallest number of vertices n such that every graph on n vertices either contains a clique of size s or an independent set of size t. Recent developments in Ramsey theory have focused on finding asymptotic bounds for Ramsey numbers. In this talk, we survey asymptotic bounds of Ramsey Numbers R(3,t) and R(4,t), including significant contributions of Sam Mattheus and Jacques Verstraete on R(4,t).
Primary author
Jeong Han Kim
(KIAS)