Efficient routing in MANETs using ordered walks
Wireless Networks
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We present more efficient distributed depth-firstsearch algorithms which construct a depth-first-search tree for a communication network. The algorithms require \left| V \right|(1 + r) messages and |V|(l + r) units of time in the worst case, where \left| V \right| is the number of sites in the network, and 0 \leqslant r \le 1 . The value of r depends on the network topology and possibly on the routing chosen. In the best case, when the underlying network has a ring topology, r = 0 and our basic algorithm requires \V\ messages and time units, regardless of routing. We extend this algorithm to achieve the same best case bound for other topologies. The worst case bound, which has r = 1 2/\left| V \right|, applies if the network topology is a tree. The improvement over the best of previous algorithms is achieved by dynamic backtracking, with a minor increase in message length.