carnation vs pink

carnation and pink both are nouns.

Word	Noun	Adjective	Verb	Adverb
carnation	Yes	Yes	No	No
pink	Yes	Yes	Yes	No

As nouns, pink is a hypernym of carnation; that is, pink is a word with a broader meaning than carnation:

As nouns, pink is a hypernym of carnation; that is, pink is a word with a broader meaning than carnation:

carnation: Eurasian plant with pink to purple-red spice-scented usually double flowers; widely cultivated in many varieties and many colors
pink: any of various flowers of plants of the genus Dianthus cultivated for their fragrant flowers

Other hypernyms of carnation include garden pink.

carnation (noun)	pink (noun)
a pink or reddish-pink color	a light shade of red
Eurasian plant with pink to purple-red spice-scented usually double flowers; widely cultivated in many varieties and many colors	a person with mildly leftist political views
	any of various flowers of plants of the genus Dianthus cultivated for their fragrant flowers

carnation (adjective)	pink (adjective)
pink or pinkish	of a light shade of red

carnation (verb)	pink (verb)
	cut in a zigzag pattern with pinking shears, in sewing
	make light, repeated taps on a surface
	sound like a car engine that is firing too early