We develop a new, random walk-based, algorithm for the Hamiltonian cycle problem. The random walk is on pairs of extreme points of two suitably constructed polytopes. The latter are derived from ...
Taiwanese Journal of Mathematics, Vol. 10, No. 2, Special Issue: Proceedings of the International Conference on Analysis and Its Applications, 2004 (February 2006), pp. 327-338 (12 pages) In this note ...
As mathematical abstractions go, graphs are among the simplest. Scatter a bunch of points in a plane. Connect some of them with lines. That’s all a graph is. And yet they are incredibly powerful. They ...