center on vs pertain

center on and pertain both are verbs.

Word	Noun	Adjective	Verb	Adverb
center on	No	No	Yes	No
pertain	No	No	Yes	No

As verbs, pertain is a hypernym of center on; that is, pertain is a word with a broader meaning than center on:

Other hypernyms of center on include bear on, come to, concern, have to do with, refer, relate, touch, touch on.

center on (verb)	pertain (verb)
center upon	be a part or attribute of
have as a center	be relevant to