Cyclically symmetric entropy inequalities

A cyclically symmetric entropy inequality is of the form h O ≥ch O′ , where h O and h O′ are two cyclic orbit entropy terms. A computational approach is formulated for bounding the extremal value of c, which is denoted by c O,O′ . For two non-empty orbits O and O′ of a cyclic group, it is said that O dominates O′ if c O,O′ = 1. Special attention is paid to characterizing such dominance relationship, and a graphical method is developed for that purpose.