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Different geographic routing protocols have different requirements on routing metric designs to ensure proper operation. Combining a wrong type of routing metric with a geographic routing protocol may produce unexpected results, such as geographic routing loops and unreachable nodes. In this paper, we propose a novel routing algebra system to investigate the compatibilities between routing metrics and three geographic routing protocols including greedy, face and combined-greedyface routing.doi:10.1109/infcom.2009.5061907 dblp:conf/infocom/LiYL09 fatcat:otn66cewdvfafomvem4wel5vaa