compliments vs greeting

compliments and greeting both are nouns.

Word	Noun	Adjective	Verb	Adverb
compliments	Yes	No	No	No
greeting	Yes	No	No	No

As nouns, greeting is a hypernym of compliments; that is, greeting is a word with a broader meaning than compliments:

compliments: (usually plural) a polite expression of desire for someone's welfare
greeting: (usually plural) an acknowledgment or expression of good will (especially on meeting)

Other hypernyms of compliments include salutation.

compliments (noun)	greeting (noun)
(usually plural) a polite expression of desire for someone's welfare	(usually plural) an acknowledgment or expression of good will (especially on meeting)