Cross symmetry between pairs
One important way chps can interact mutually is through symmetries. Since, generally, symmetries play important roles, it's not surprising to find plenty of instances in QCD (see Glossary) where they arise quite naturally, and in particular, when we glance over a selected group of chps and their verses.
The top two arrows show two pairs of chps related to each other symmetrically through the verses spanned between them. The two pairs (40, 89) and (21, 90) are joined together via the number of verses spread between the nodes in each pair. The number of verses encompassed between the two end-nodes in each pair neatly reproduces the corresponding nodes in the other pair. From 40 to 89 there are 21 × 90 verses as there are 40 × 89 verses from 21 to 90! Additionally, nodes 92, 21, 40 and 89, form a four-point VOS-chain, as well.
Similarly, the lower two arrows point to two more pairs whose verses across exhibit the same mutual symmetry. From 20 to 92 the verse-count is 41 × 91 and from 41 to 91 it is 20 × 92! The curved, dotted arrows further point to the V-links between upper and lower pairs. Moreover, 40 is the 20th OV, whose accumulated verses span out 92 × 21, where, the V-link between the two is re-obtained.
Comparatively, 41 is the 21st EV, whose verse-span is 2338, and this happens to be the norm at the end of chp 47, which, in turn V-links to 38. From 21 to the end the adjoin verses spread out to 3847. Furthermore, the chps up to 90, whose BV's are constrained between 19 and 38, together with their verses add up to 2192. Also, the nodes 92, 38 and 91 form a three-point S-chain.