The 
-color
bipartite Ramsey number 
of a bipartite graph 
is the least integer 
such that every assignment of 
colors to the edges of the complete bipartite graph 
contains a monochromatic copy of 
. This differs from the ordinary Ramsey
number, whose host is a complete graph.
Ai and Yin (2026) proved that 
for all sufficiently large 
, where 
is the cycle graph of
length 
.
Their lower bound 
holds for every 
. Ai and Yin (2026) report mathematical assistance from
GPT-6.1 Sol and Claude Fable 5.1 with intermediate derivations, capacity arguments,
and threshold checks.
