The complexity of searching a graph
Journal of the ACM (JACM)
Monotonicity in graph searching
Journal of Algorithms
The vertex separation number of a graph equals its path-width
Information Processing Letters
Recontamination does not help to search a graph
Journal of the ACM (JACM)
Graph Searching and Interval Completion
SIAM Journal on Discrete Mathematics
Capture of an intruder by mobile agents
Proceedings of the fourteenth annual ACM symposium on Parallel algorithms and architectures
An annotated bibliography on guaranteed graph searching
Theoretical Computer Science
Sweeping graphs with large clique number
ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
Lower bounds on edge searching
ESCAPE'07 Proceedings of the First international conference on Combinatorics, Algorithms, Probabilistic and Experimental Methodologies
Lower Bounds on Fast Searching
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
Fast edge-searching and related problems
COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part II
Fast edge searching and fast searching on graphs
Theoretical Computer Science
Fast searching games on graphs
Journal of Combinatorial Optimization
Discrete Applied Mathematics
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Edge searching is a graph problem that corresponds to cleaning a contaminated graph using the minimum number of searchers. We define fast searchingas a variant of this widely studied problem. Fast searching corresponds to an internal monotone search in which every edge is traversed exactly once and searchers are not allowed to jump. We present a linear time algorithm to compute the fast search number of trees. We investigate the fast search number of bipartite graphs. We also propose a general cost function for evaluating search strategies that utilizes both edge searching and fast searching.