Separability and topology control of quasi unit disk graphs

Zhang, F.; Chen, J.; Jiang, A.; Xia, Ge; Kanj, I. A.

Separability and topology control of quasi unit disk graphs

Abstract

A deep understanding of the structural properties
of wireless networks is critical for evaluating the performance of
network protocols and improving their designs. Many protocols
for wireless networks — routing, topology control, information
storage/retrieval and numerous other applications — have been
based on the idealized unit-disk graph (UDG) network model.
The significant deviation of the UDG model from many real
wireless networks is substantially limiting the applicability of
such protocols. A more general network model, the quasi unitdisk
graph (quasi-UDG) model, captures much better the characteristics
of wireless networks. However, the understanding on the
properties of general quasi-UDGs has been very limited, which
is impeding the designs of key network protocols and algorithms.
In this paper, we present results on two important properties
of quasi-UDGs: separability and the existence of power efficient
spanners. Network separability is a fundamental property leading
to efficient network algorithms and fast parallel computation. We
prove that every quasi-UDG has a corresponding grid graph
with small balanced separators that captures its connectivity
properties. We also study the construction of wireless backbones
through topology control for efficient communication and
present a distributed localized algorithm that builds a nearly
planar backbone in any quasi-UDG with low constant stretch
factor and degree. We demonstrate the excellent performance
of these properties through simulations and show, among many
applications, their application in efficient routing.

Title	Separability and topology control of quasi unit disk graphs
Creator	Zhang, F.
	Chen, J.
	Jiang, A.
	Xia, Ge
	Kanj, I. A.
Publisher	INFOCOM 2007, 26th IEEE International Conference on Computer Communications
Academic Department	Computer Science
Division	Natural Sciences
Organization	Lafayette College
Date Issued	2007
Date Available	2010-02-26T15:58:01Z
Type	Article
Language	English
Bibliographic Citation	Chen, J. A. Jiang, et al. "Separability and topology control of quasi unit disk graphs." INFOCOM 2007, 26th IEEE International Conference on Computer Communications 2225-2233.
Standard Identifier	Handle 10385/624
Standard Identifier	DOI 10.1109/INFCOM.2007.257
Permalink	http://hdl.handle.net/10385/624
Rights Statement	In Copyright
Rights Holders	IEEE