Spatial networks
I am studying different kinds of optimality property for networks over
n
given points in two-dimensional space.
Here are the technical papers so far:
Short-length routes in low-cost networks via Poisson line patterns
(with Wilf Kendall).
Spatial Transportation Networks with Transfer Costs: Asymptotic Optimality of Hub and Spoke Models
.
Optimal spatial transportation networks where link-costs are sublinear in link-capacity
Somewhat related are
Percolating paths through random points
and
Optimal flow through the disordered lattice
.