T He Inverse Eccentric Problem on Trees under the H Amming Distance
نویسندگان
چکیده
Given a network G(V,A,c), the eccentric node of a node v ∈ V is the furthest node from v with respect to the edge length vector c. The inverse eccentric problem consists of modifying the edge length vector c minimally so that a specific node t becomes the eccentric node of another specific node s. The length modifications can be measured by different distances. In this paper, the problem under the weighted sum-type Hamming distance is considered when the network is a tree. It is shown that the problem is NP-hard. Then, a polynomial-time algorithm is presented for a special case of the problem.
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