fringed pink vs garden pink

fringed pink and garden pink both are nouns.

Word	Noun	Adjective	Verb	Adverb
fringed pink	Yes	No	No	No
garden pink	Yes	No	No	No

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

fringed pink: Eurasian perennial pink having fragrant lilac or rose flowers with deeply fringed margins
garden pink: any of various flowers of plants of the genus Dianthus cultivated for their fragrant flowers

Other hypernyms of fringed pink include pink.

fringed pink (noun)	garden pink (noun)
Eurasian perennial pink having fragrant lilac or rose flowers with deeply fringed margins	any of various flowers of plants of the genus Dianthus cultivated for their fragrant flowers
low wiry-stemmed branching herb or southern California having fringed pink flowers