Exact rainbow saturation numbers of cycles

Determine the exact value of the rainbow saturation number \(\operatorname{rsat}(n,C_r)\) for cycles \(C_r\), beyond the cases and bounds established in the paper.

Background

The paper determines $\operatorname{rsat}(n,C_4)$ exactly and establishes upper and lower bounds for cycles of length at least five. The authors explicitly state that the exact value for general cycle lengths remains unresolved, making this a broad open problem in rainbow saturation theory.