The complexity of deciding whether a graph admits an orientation with fixed weak diameter
Abstract
An orientation of an undirected graph G has weak diameter k if, for every pair {u,v} of vertices of G, there is a directed path with length at most k joining u and v in either direction. We show that deciding whether a graph admits an orientation with weak diameter k is NP-complete whenever k>=2.
Domains
Discrete Mathematics [cs.DM]Origin | Files produced by the author(s) |
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