border vs verge

border and verge both are nouns.

Word	Noun	Adjective	Verb	Adverb
border	Yes	No	Yes	No
verge	Yes	No	Yes	No

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

Other hyponyms of border include edging, selvage, selvedge.

As verbs, verge is a hyponym of border; that is, verge is a word with a more specific, narrower meaning than border:

Other hyponyms of border include skirt, shore.

border (noun)	verge (noun)
a strip forming the outer edge of something	a grass border along a road
a decorative recessed or relieved surface on an edge	the limit beyond which something happens or changes
a line that indicates a boundary	a ceremonial or emblematic staff
the boundary of a surface	a region marking a boundary
the boundary line or the area immediately inside the boundary

border (verb)	verge (verb)
lie adjacent to another or share a boundary	border on; come close to
extend on all sides of simultaneously; encircle
enclose in or as if in a frame
provide with a border or edge
form the boundary of; be contiguous to