A homomorphism from a graph G to a graph R is locally surjective if its restriction to the neighborhood of each vertex of G is surjective. Such a homomorphism is also called an R-r...
We consider the Stackelberg shortest-path pricing problem, which is defined as follows. Given a graph G with fixed-cost and pricable edges and two distinct vertices s and t, we may...
Patrick Briest, Parinya Chalermsook, Sanjeev Khann...
This article addresses the problem of efficient multi-robot patrolling in a known environment. The proposed approach assigns regions to each mobile agent. Every region is represen...
Let H be a fixed graph on h vertices. We say that a graph G is induced H-free if it does not contain any induced copy of H. Let G be a graph on n vertices and suppose that at leas...
— We continue our investigation into the application of pervasive, embedded networks to support multi-robot tasks. In this work we use a new a hardware platform, the GNATs, to ai...
Keith J. O'Hara, Victor Bigio, Eric R. Dodson, Ary...