Cyclically symmetric entropy inequalities

Abstract

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 c̅, which is denoted by c̅_O,O'. For two non-empty orbits O and O' of a cyclic group, it is said that O dominates O' if c̅_O,O' = 1. Special attention is paid to characterizing such dominance relationship, and a graphical method is developed for that purpose.