Definition of monographing:
(n) :
A scholarly book or a treatise on a single subject or a group of related subjects, usually written by one person.
(v) :
(transitive) To write a monograph on (a subject).
(n) :
(linguistics, uncommon) A single letter, especially one which represents a phoneme by itself when held in contrast to letters within polygraphs.
(v) :
(transitive, US) Of the FDA: to publish a standard that authorizes the use of (a substance).