rhyme vs alliteration

rhyme and alliteration both are nouns.

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

As nouns, alliteration is a hyponym of rhyme; that is, alliteration is a word with a more specific, narrower meaning than rhyme:

rhyme: correspondence in the sounds of two or more lines (especially final sounds)
alliteration: use of the same consonant at the beginning of each stressed syllable in a line of verse

rhyme (noun)	alliteration (noun)
correspondence in the sounds of two or more lines (especially final sounds)	use of the same consonant at the beginning of each stressed syllable in a line of verse
a piece of poetry

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