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An ad hoc wireless network is a special type of wireless network in which a collection of mobile hosts with appropriate interfaces may form a temporary network, without the aid of any established infrastructure or centralized administration. Communication in an ad hoc wireless network is based on multiple hops. Packets are relayed by intermediate hosts between the source and the destination; that is, routes between two hosts may consist of hops through other hosts in the network. Mobility of hosts can cause unpredictable topology changes | Handbook of Wireless Networks and Mobile Computing Edited by Ivan Stojmenovic Copyright 2002 John Wiley Sons Inc. ISBNs 0-471-41902-8 Paper 0-471-22456-1 Electronic CHAPTER 20 Dominating-Set-Based Routing in Ad Hoc Wireless Networks JIE WU Department of Computer Science and Engineering Florida Atlantic University 20.1INTRODDCTON An ad hoc wireless network is a special type of wireless network in which a collection of mobile hosts with appropriate interfaces may form a temporary network without the aid ofanyestabhshedinlrastruchireorcentralizedadministration. Communication in an ad hoc wireless network is based on multiple hops. Packets are relayed by intermediate hosts between the source and the destination that is routes between two hosts may consist of hops through other hosts in the network. Mobility of hosts can cause unpredictable topology changes. Therefore the task of finding and maintaining routes in an ad hoc wireless networkis nontrivial. We can use a simple graph G F E to represent an ad hoc wireless network where V representsa setofwirelessmobile hosts and frcprcscntsasctoi edges. An edgebetween host pant c .iili ndiceiies thatbesnOoststtnosl oasewitOm tdeie wireless Ocnsmittts ranges.Unletcotheewise specifics ste otsumetliatelC moOilehostsceehomogeneous s.g.s tPeorwfrelepp ii sncmOtetiso eoes orelhesaine.S4ofheiwovUi in shereistn edgse tropttd-EStSiodsooSeethat isitwithinei ssengeaod oiswithinMp sangfiThus tliecoriox sponslrngginpiiiiaeundltectesigreolicsilleiiis emit nsgfh tn whichcoreststiont tf OetSs orestetotnmiedegiXsm geog ropSutril distencee. Rgutinginadhoc wireless networks poses special challenges. In general the main charao teres dot e fmobile computing serr low hentlwidsn mongtty mslftw woer Wireie ss nelsvorksde ittvtloo etban slwtniliieanwtted ncewiirksroiditienrrijelormoSloni ollectihd during sfe formatinnota soutingteSOn is expensive. MoSiiiSyoe eosis.w lilcltfhi.ises Sodolog lud lOangeioethecmderlging nenoochalsoincreosotthevolatititg .