Localized Spanner Construction for Ad Hoc Networks with Variable Transmission Range

Abstract. This paper presents an algorithm for constructing a spanner for ad hoc networks whose nodes have variable transmission range. Almost all previous spanner constructions for ad hoc networks assumed that all nodes in the network have the same transmission range. This allowed a succinct representation of the network as a unit disk graph, serving as the basis for the construction. In contrast, when nodes have variable transmission range, the ad hoc network must be modeled by a general disk graph. Whereas unit disk graphs are undirected, general disk graphs are directed. This complicates the construction of a spanner for the network, since currently there are no efficient constructions of lowstretch spanners for general directed graphs. Nevertheless, in this paper it is shown that the class of disk graphs enjoys (efficiently constructible) spanners of quality similar to that of unit disk graph spanners. Moreover, it is shown that the new construction can be done in a localized fash...

• Type: Conference
• Year: 2008
• Where: ADHOCNOW
• Authors: David Peleg, Liam Roditty
• Keywords: Ad Hoc Network, ADHOCNOW 2008, Disk Graph, Unit Disk Graph, Wireless Networks