The complexity of searching a graph
Journal of the ACM (JACM)
Monotonicity in graph searching
Journal of Algorithms
Information and Computation
Self-stabilizing end-to-end communication
Journal of High Speed Networks
Exploring unknown environments
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Computation in noisy radio networks
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Exploring unknown undirected graphs
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Bubbles: Adaptive Routing Scheme for High-Speed Dynamic Networks
SIAM Journal on Computing
Routing on butterfly networks with random faults
FOCS '95 Proceedings of the 36th Annual Symposium on Foundations of Computer Science
Upper and lower bounds for routing schemes in dynamic networks
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
Expanders might be practical: fast algorithms for routing around faults on multibutterflies
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
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In this paper, we present algorithms to search for an item s contained in a node of a network, without prior knowledge of its exact location. Each node of the network has a database that will answer queries of the form "how do I get to s?" by responding with the first edge on a shortest path to s. It may happen that some nodes, called liars, give bad advice. If the number of liars k is bounded, we show different strategies to find the item depending on the topology of the network. In particular we consider the complete graph, ring, torus, hypercube and bounded degree trees.