Networks
Searching for a Black Hole in Synchronous Tree Networks¶
Combinatorics, Probability and Computing
Mobile Search for a Black Hole in an Anonymous Ring
Algorithmica
Hardness and approximation results for Black Hole Search in arbitrary networks
Theoretical Computer Science
Journal of Graph Theory
The power of team exploration: two robots can learn unlabeled directed graphs
SFCS '94 Proceedings of the 35th Annual Symposium on Foundations of Computer Science
Ping Pong in Dangerous Graphs: Optimal Black Hole Search with Pure Tokens
DISC '08 Proceedings of the 22nd international symposium on Distributed Computing
Map construction and exploration by mobile agents scattered in a dangerous network
IPDPS '09 Proceedings of the 2009 IEEE International Symposium on Parallel&Distributed Processing
Black Hole Search with Tokens in Interconnected Networks
SSS '09 Proceedings of the 11th International Symposium on Stabilization, Safety, and Security of Distributed Systems
Locating a Black Hole without the Knowledge of Incoming Link
Algorithmic Aspects of Wireless Sensor Networks
Synchronization Helps Robots to Detect Black Holes in Directed Graphs
OPODIS '09 Proceedings of the 13th International Conference on Principles of Distributed Systems
Deterministic symmetric rendezvous with tokens in a synchronous torus
Discrete Applied Mathematics
Tight bounds for scattered black hole search in a ring
SIROCCO'11 Proceedings of the 18th international conference on Structural information and communication complexity
Searching for black-hole faults in a network using multiple agents
OPODIS'06 Proceedings of the 10th international conference on Principles of Distributed Systems
Black hole search in asynchronous rings using tokens
CIAC'06 Proceedings of the 6th Italian conference on Algorithms and Complexity
Black hole search in directed graphs
SIROCCO'09 Proceedings of the 16th international conference on Structural Information and Communication Complexity
Periodic data retrieval problem in rings containing a malicious host
SIROCCO'10 Proceedings of the 17th international conference on Structural Information and Communication Complexity
Rendezvous of mobile agents in unknown graphs with faulty links
DISC'07 Proceedings of the 21st international conference on Distributed Computing
Asynchronous exploration of an unknown anonymous dangerous graph with o(1) pebbles
SIROCCO'12 Proceedings of the 19th international conference on Structural Information and Communication Complexity
Exploring an unknown dangerous graph using tokens
Theoretical Computer Science
Searching for a black hole in interconnected networks using mobile agents and tokens
Journal of Parallel and Distributed Computing
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We consider the problem of locating a black hole in synchronous anonymous networks using finite state agents. A black hole is a harmful node in the network that destroys any agent visiting that node without leaving any trace. The objective is to locate the black hole without destroying too many agents. This is difficult to achieve when the agents are initially scattered in the network and are unaware of the location of each other. In contrast to previous results, we solve the problem using a small team of finite-state agents each carrying a constant number of identical tokens that could be placed on the nodes of the network. Thus, all resources used in our algorithms are independent of the network size. We restrict our attention to oriented torus networks and first show that no finite team of finite state agents can solve the problem in such networks, when the tokens are not movable, i.e., they cannot be moved by the agents once they have been released on a node. In case the agents are equipped with movable tokens, we determine lower bounds on the number of agents and tokens required for solving the problem in torus networks of arbitrary size. Further, we present a deterministic solution to the black hole search problem for oriented torus networks, using the minimum number of agents and tokens, thus providing matching upper bounds for the problem.