compendium vs publication

compendium and publication both are nouns.

Word	Noun	Adjective	Verb	Adverb
compendium	Yes	No	No	No
publication	Yes	No	No	No

As nouns, publication is a hypernym of compendium; that is, publication is a word with a broader meaning than compendium:

compendium (noun)	publication (noun)
a concise but comprehensive summary of a larger work	the business of issuing printed matter for sale or distribution
a publication containing a variety of works	the act of issuing printed materials
	the communication of something to the public; making information generally known
	a copy of a printed work offered for distribution