Covering Planar Metrics (and Beyond): O(1) Trees Suffice
Covering Planar Metrics (and Beyond): O(1) Trees Suffice
While research on the geometry of planar graphs has been active in the past decades, many properties of planar metrics remain mysterious. This paper studies a fundamental aspect of the planar graph geometry: covering planar metrics by a small collection of simpler metrics. Specifically, a tree cover of a metric …