In wireless sensor network, a connected dominating set (CDS) can be used as a virtual backbone for efficient routing. Constructing a minimal CDS (MCDS) is good for packet routing and energy efficiency, but is an NP-hard problem. In this article, an efficient approximation MCDS construction algorithm E-MCDS (energy efficient MCDS construction algorithm) is proposed which explicitly takes energy ...

I.ABSTRACT WSN is stocked with many small nodes that are highly depends on energy .These nodes offers solutions to many real time problems that are in existence .The capability of these nodes are very limited, mainly for maintaining energy efficiency in WSN .There are various techniques available to effectively maintain the energy in the wireless sensor networks .Among these techniques the most...

Secure clustering problem plays an important role in distributed sensor networks. Weakly Connected Dominating Set (WCDS) is used for solving this problem. Therefore, computing a minimum WCDS becomes an important topic of this research. In this paper, we compare the size of Maximal Independent Set (MIS) and minimum WCDS in unit disk graph. Our analysis shows that five is the least upper bound fo...

Connected dominating set (CDS) has a wide range of applications in wireless ad hoc networks. A number of approximation algorithms for constructing a small CDS in wireless ad hoc networks have been proposed in the literature. The majority of these algorithms follow a general two-phased approach. The first phase constructs a dominating set, and the second phase selects additional nodes to interco...

We propose a novel randomized algorithm for computing a dominating set based clustering in wireless ad-hoc and sensor networks. The algorithm works under a model which captures the characteristics of the set-up phase of such multi-hop radio networks: asynchronous wake-up, the hidden terminal problem, and scarce knowledge about the topology of the network graph. When modelling the network as a u...

For a connected graph, representing a sensor network, distributed algorithms for the Set Covering Problem can be employed to construct reasonably small subsets of the nodes, called k-SPR sets. Such a set can serve as a virtual backbone to facilitate shortest path routing, as introduced in [40], [12] and [13]. When employed in a hierarchical fashion, together with a hybrid (partly proactive, par...

E cient routing among a set of mobile hosts (also called nodes) is one of the most important functions in ad-hoc wireless networks. Routing based on a connected dominating set is a promising approach, where the searching space for a route is reduced to nodes in the set. A set is dominating if all the nodes in the system are either in the set or neighbors of nodes in the set. In this paper, we p...

Let G be an undirected connected graph with vertex and edge sets V (G) E(G), respectively. A set C ⊆ is called convex hop dominating if for every two vertices x, y ∈ C, the of x-y geodesic contained in v \ there exists w such that dG(v, w) = 2. The minimum cardinality G, denoted by γconh(G), domination number G. In this paper, we show positive integers a b, where 2 ≤ are realizable as number, r...

A connected dominating set in a graph is a subset of vertices such that every vertex is either in the subset or adjacent to a vertex in the subset and the subgraph induced by the subset is connected. The minimum connected dominating set is such a vertex subset with minimum cardinality. An application in ad hoc wireless networks requires the study of the minimum connected dominating set in unit-...

This paper describes a distributed algorithm (generalized d-CDS) for producing a variety of d-dominating sets of nodes that can be used to form the backbone of an ad hoc wireless network. In special cases (ordinary d-CDS), these sets are also d-hop connected and has a desirable “shortest path property”. Routing via the backbone created is also discussed. The algorithm has a “constant-time” comp...