On k-Path Covers and their applications

@article{Funke2015OnKC,
  title={On k-Path Covers and their applications},
  author={Stefan Funke and Andr{\'e} Nusser and Sabine Storandt},
  journal={The VLDB Journal},
  year={2015},
  volume={25},
  pages={103-123}
}
For a directed graph G with vertex set V, we call a subset $$C\subseteq V$$C⊆V a k-(All-)Path Cover if C contains a node from any simple path in G consisting of k nodes. This paper considers the problem of constructing small k-Path Covers in the context of road networks with millions of nodes and edges. In many application scenarios, the set C and its induced overlay graph constitute a very compact synopsis of G, which is the basis for the currently fastest data structure for personalized… 

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