vowel rhyme vs rhyme

vowel rhyme and rhyme both are nouns.

Word	Noun	Adjective	Verb	Adverb
vowel rhyme	Yes	No	No	No
rhyme	Yes	No	Yes	No

As nouns, rhyme is a hypernym of vowel rhyme; that is, rhyme is a word with a broader meaning than vowel rhyme:

vowel rhyme: the repetition of similar vowels in the stressed syllables of successive words
rhyme: correspondence in the sounds of two or more lines (especially final sounds)

Other hypernyms of vowel rhyme include rime.

vowel rhyme (noun)	rhyme (noun)
the repetition of similar vowels in the stressed syllables of successive words	correspondence in the sounds of two or more lines (especially final sounds)
	a piece of poetry

vowel rhyme (verb)	rhyme (verb)
	compose rhymes
	be similar in sound, especially with respect to the last syllable