Spatial networks
I am studying different kinds of optimality property for networks
over n given points in two-dimensional space.
An overview of the project is given by the current version of a planned survey article:
Models for Connected Networks over Random Points and a Route-Length Statistic
(with Julian Shun).
A number of "central" technical papers are in progress, the only completed one being
There is also a brief "data" paper
but I would like someone to continue this style of data collection.
Two less central technical
papers are:
Somewhat related are
Percolating paths through random points
and
Optimal flow through the disordered lattice.