Wireless communication between sensors allows the formation of flexible sensor networks,
which can be deployed rapidly over wide or inaccessible areas. However, the need to …

One of the fundamental properties of an ad hoc network is its connectivity. Maintaining
connectivity in wireless networks is extremely difficult due to dynamic changing topology of …

Mobile ad hoc networks includes self-sustaining mobile nodes that are self-making with no
predefined foundation and buildup associations amongst themselves to develop …

In this letter, probability of node to base station connectivity in a one-dimensional ad hoc
network is calculated. It is assumed that the location of the nodes follows a homogeneous …

We consider the geometric random graph where n points are distributed uniformly and
independently on the unit interval [0, 1]. Using the method of first and second moments, we …

In this paper, we propose an analytical approach to compute the probability of connectivity
for one-dimensional ad hoc networks. The proposed analysis gives the exact probability of …

We consider a collection of n independent points which are distributed on the unit interval [0,
1] according to some probability distribution function F. Two nodes are said to be adjacent if …

Connectivity is one of decision performance parameters that evaluate applicability of ad hoc
networking in aeronautical network. In this paper, a connectivity analytical model for ad hoc …

We derive closed analytical formulae of connectivity for random interval graphs in the
presence of fixed access points. We examine the influence of positions of access points on …

Many analytic results for the connectivity, coverage, and capacity of wireless networks have
been reported for the case where the number of nodes, n, tends to infinity (large-scale …