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Connected searching of weighted trees

Dariusz Dereniowski
Arxiv ID: 1001.4341Last updated: 3/5/2021
In this paper we consider the problem of connected edge searching of weighted trees. It is shown that there exists a polynomial-time algorithm for finding optimal connected search strategy for bounded degree trees with arbitrary weights on the edges and vertices of the tree. The problem is NP-complete for general node-weighted trees (the weight of each edge is 1).

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