A method and apparatus for organizing a workspace of a graphical input system that utilizes borders to define regions within the workspace. The present invention addresses the problem of determining the scope of structure operations. Structures, e.g. a list, table or other group of items having some fixed relationship by introducing the notion of a border dynamically created on such systems using available areas on the workspace. Some ambiguity may exist as to where a structure begins or ends. Further, such structure operations may cause a structure to overlay another structure. Borders are used to tessellate a work surface into non-overlapping regions. Typically, within each region is a structure. Deleting borders on a tessellated work surface may cause others borders to be deleted with the object being to maintain a completely tessellated work surface. Further, various border types, visually represented by different line types, are enabled which in turn provide for defining different types of regions.