Abstract
Given an n-vertex planar directed graph with real edge lengths and with no negative cycles, we show how to compute single-source shortest path distances in the graph in O(n(log n)^2/loglog n) time with O(n) space. This is an improvement of a recent time bound of O(n(log n)^2) by Klein et al.
Translated title of the contribution | Shortest Paths in Planar Graphs with Real Lengths in O(n(log n)^2/loglog n) Time |
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Original language | English |
Place of Publication | Datalogisk Institut, Københavns Universitet (DIKU) |
Number of pages | 15 |
Publication status | Published - 2009 |