Finding the most relevant fragments in networks

K. Buchin, S. Cabello, J. Gudmundsson, M. Löffler, J. Luo, G. Rote, R.I. Silveira, B. Speckmann, T. Wolle

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
109 Downloads (Pure)


We study a point pattern detection problem on networks, motivated by applications in geographical analysis, such as crime hotspot detection. Given a network N (a connected graph with non-negative edge lengths) together with a set of sites, which lie on the edges or vertices of N, we look for a connected subnetwork F of N of small total length that contains many sites. The edges of F can form parts of the edges of N. We consider different variants of this problem where N is either a general graph or restricted to a tree, and the subnetwork F that we are looking for is either a simple path or a tree. We give polynomial-time algorithms, NP-hardness and NP-completeness proofs, approximation algorithms, and also fixed-parameter tractable algorithms.
Original languageEnglish
Pages (from-to)307-336
Number of pages30
JournalJournal of Graph Algorithms and Applications
Issue number2
Publication statusPublished - 2010


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