A strongly non-Ramsey uncountable graph
Volume 154 / 1997
Fundamenta Mathematicae 154 (1997), 203-205
DOI: 10.4064/fm-154-2-203-205
Abstract
It is consistent that there exists a graph X of cardinality $ℵ_1$ such that every graph has an edge coloring with $ℵ_1$ colors in which the induced copies of X (if there are any) are totally multicolored (get all possible colors).