Inspired by the well-known Dipole and Yagi antennae we introduce and study a new
theoretical model of directional antennae that we call double antennae. Given a set P of n …

Inspired by the well-known Dipole and Yagi antennae we introduce and study a new
theoretical model of directional antennae that we call double antennae. Given a set P of n …

We consider the following Antenna Orientation Problem: Given a connected Unit Disk Graph
(UDG) formed by n identical omnidirectional sensors, what is the optimal range (or radius) …

Traditional approaches to connectivity in sensor networks are based on the omnidirectional
antenna model which relies on the assumption that the sensors send and receive in all …

Connectivity in wireless sensor networks may be established using either omnidirectional or
directional antennae. The former radiate power uniformly in all directions while the latter …

Traditional study of wireless sensor networks has relied on the assumption that sensors
transmit and receive using an omnidirectional antenna. There has been some recent study …

Given a set S of n sensors in the plane we consider the problem of establishing an ad hoc
network from these sensors using directional antennae. We prove that for each given integer …

A network is k-connected if it remains connected after the removal of any k–1 of its nodes.
Assume that n sensors, modeled here as (omni) directional antennas, are dropped randomly …

Consider a set S of sensors in a plane, each equipped with a directional antenna of
beamwidth π 2 and radius r ∈ O (1). The antennas are symmetric, ie for two sensors u and v …

We study the problem of orienting some edges of given planar graph such that the resulting
subdigraph is strongly connected and spans all vertices of the graph. We are interested in …