Proximity modeling

Proximity modeling, for our purposes here, will be taken as more or
less synonymous with graph embedding. A graph is a
mathematically defined object. The definition of a particular graph
includes two types of constituent objects. These are called
vertices and edges. Graphs have this nomenclature in
common with polyhedra (which also possess faces). When
envisioning graphs, it may do to imagine the vertices as dots, or
points; and the edges as line segments. Each edge has two ends, and
each end is attached to one of the graph's vertices. With graphs,
unlike with polyhedra, there is no general assumption that these lines
are "straight." The important thing about graphs is the question of
"what connects to what." For this reason, graph theory has found
applications in practices that have to do with connectivity, such as
electrical schematics and utility grids.
For the purpose of this discussion, the embedding of graphs
will be taken to mean the drawing of graphs in (typically) two- or
three-dimensional format, with a "goal" of keeping the edges as short
as possible.
Proximity modeling
is seen as a way to position <a
href="http://geocities.com/n8chz/pvo.htm">virtual objects</a>
in virtual space. This is seen as a worthwhile endeavour because the
exploration of conceivable arrangements of economic goods in
"space" is seen as a possible fruitful area for knowledge discovery.
http://web.archive.org/20091027073419/geocities.com/n8chz/utgraph2.txt
Category:Economic wellbeing