Babai's problem
In algebraic graph theory, Babai's problem was proposed in 1979 by László Babai.Babai's problem
Let be a finite group, let be the set of all irreducible characters of, let be the Cayley graph corresponding to a generating subset of, and let be a positive integer. Is the set
an invariant of the graph ? In other words, does imply that ?BI-group (Babai Invariant group)
A finite group is called a BI-group if for some inverse closed subsets and of, then for all positive integers.Which finite groups are BI-groups?