auto tire vs tyre

auto tire and tyre both are nouns.

Word	Noun	Adjective	Verb	Adverb
auto tire	Yes	No	No	No
tyre	Yes	No	No	No

As nouns, tyre is a hypernym of auto tire; that is, tyre is a word with a broader meaning than auto tire:

auto tire: a tire consisting of a rubber ring around the rim of an automobile wheel
tyre: hoop that covers a wheel

Other hypernyms of auto tire include tire.

auto tire (noun)	tyre (noun)
a tire consisting of a rubber ring around the rim of an automobile wheel	hoop that covers a wheel