Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
420055 | Discrete Applied Mathematics | 2007 | 11 Pages |
Abstract
A set of vertices S in a graph G is a routing set if it ensures some kind of connectivity between all pairs of vertices outside of S. Additional constraints may apply; a connected dominating set, for instance, is a special case of a routing set. We determine the size of a minimum routing set in subgraphs of the integer lattice, as well as (asymptotically) for the lattice itself.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Peter Hamburger, Robert Vandell, Matt Walsh,