On the hardness of approximating minimization problems
Journal of the ACM (JACM)
The Guarding Problem --- Complexity and Approximation
Combinatorial Algorithms
Approximation algorithms for combinatorial problems
Journal of Computer and System Sciences
Cop-robber guarding game with cycle robber-region
Theoretical Computer Science
Algorithmica
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This paper shows that the optimization problem arising from the guarding game played between the cop and robber players on an undirected graph can be approximated in polynomial time within a factor of @Q(logn) when the robber moves along a tree.