This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

ad. Of, relating to, or arranged in a hierarchy

ad. Pertaining to a transitive relation between objects by which they may be ordered into a hierarchy.

In a hierarchic manner; in conformity to ecclesiastical authority, influence, or interests; by a system of government resembling that of the church.

ad. in a hierarchical manner

"An extension of this graph representation, namely hierarchically structured or compound graphs, in which a member of a biological network may recursively contain a sub-network of a somehow logically similar group of biological objects, provides many additional benefits for analysis of biological pathways, including reduction of complexity by decomposition into distinct components or modules."