edge

sense 1: advance slowly, as if by inches; "He edged towards the car"
edge inch

sense 2: provide with a border or edge; "edge the tablecloth with embroidery"
border edge

sense 3: lie adjacent to another or share a boundary; "Canada adjoins the U.S."; "England marches with Scotland"
border adjoin edge abut march butt butt_against butt_on

sense 4: provide with an edge; "edge a blade"
edge