Classification of perfect integral circulant graphs

Classify all perfect integral circulant graphs, extending the known characterization of perfect unitary Cayley graphs to the full class of integral circulant graphs.

Background

The paper notes that Klotz and Sander characterized all perfect unitary Cayley graphs, but unitary Cayley graphs form only a special subclass of integral circulant graphs. The unresolved problem is therefore to determine which integral circulant graphs are perfect, namely, graphs for which the chromatic number equals the clique number on every induced subgraph. The paper suggests that exact combinatorial methods and topological projection techniques may help establish structural bounds relevant to this broader classification.