Edge

An edge is a line, border, or boundary at which an object terminates, or a line at which two objects meet. In the abstract rhetorical sense, it can mean an advantage in an argument or debate, i.e. "John McCain gained the edge in the presidential campaign."

It can also be used as a verb, meaning "to sharpen", or in the aforementioned abstract definition.

In mathematics, an edge is one of the two components of a graph (in the sense of graph theory).