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Subquadratic algorithms for the diameter and the sum of pairwise distances in planar graphs [Elektronski vir]
Cabello, Sergio
We show how to compute in ▫$O(n^{11/6} \text{polylog}(n))$▫ expected time the diameter and the sum of the pairwise distances in an undirected planar graph with ▫$n$▫ vertices and positive edge ...weights. These are the first algorithms for these problems using time ▫$O(n^c)$▫ for some constant ▫$c < 2$▫.
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