edge vs border

edge and border both are nouns.

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

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

edge: the outside limit of an object or area or surface; a place farthest away from the center of something
border: a strip forming the outer edge of something

Other hyponyms of edge include hem, luff, molding, moulding, selvage, selvedge, berm, shoulder, roadside, wayside.

As nouns, edge and border are synonyms defined as:

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

As verbs, edge and border are synonyms defined as:

Other synonyms of edge include abut, adjoin, butt, butt against, butt on, march.

As verbs, edge and border are synonyms defined as:

edge (noun)	border (noun)
a sharp side formed by the intersection of two surfaces of an object	a strip forming the outer edge of something
the outside limit of an object or area or surface; a place farthest away from the center of something	a decorative recessed or relieved surface on an edge
a slight competitive advantage	a line that indicates a boundary
the attribute of urgency in tone of voice	the boundary of a surface
the boundary of a surface	the boundary line or the area immediately inside the boundary
a line determining the limits of an area

edge (verb)	border (verb)
lie adjacent to another or share a boundary	lie adjacent to another or share a boundary
provide with an edge	extend on all sides of simultaneously; encircle
advance slowly, as if by inches	enclose in or as if in a frame
provide with a border or edge	provide with a border or edge
	form the boundary of; be contiguous to