— In the standard approach to studying connectivity, a physical layer is assumed that allows direct transmission between neighbors within some fixed distance. The graph resultin...
— We are given an equal number of mobile robotic agents, and distinct target locations. Each agent has simple integrator dynamics, a limited communication range, and knowledge of...
Abstract. The problem of perfectly secure message transmission concerns two synchronized non-faulty processors sender (S) and receiver (R) that are connected by a synchronous netwo...
In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...