We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Finding lasting dense subgraphs.
- Authors
Semertzidis, Konstantinos; Pitoura, Evaggelia; Terzi, Evimaria; Tsaparas, Panayiotis
- Abstract
Graphs form a natural model for relationships and interactions between entities, for example, between people in social and cooperation networks, servers in computer networks, or tags and words in documents and tweets. But, which of these relationships or interactions are the most lasting ones? In this paper, we study the following problem: given a set of graph snapshots, which may correspond to the state of an evolving graph at different time instances, identify the set of nodes that are the most densely connected in all snapshots. We call this problem the Best Friends Forever (BFF ) problem. We provide definitions for density over multiple graph snapshots, that capture different semantics of connectedness over time, and we study the corresponding variants of the BFF problem. We then look at the On–Off BFF ( O 2 BFF ) problem that relaxes the requirement of nodes being connected in all snapshots, and asks for the densest set of nodes in at least k of a given set of graph snapshots. We show that this problem is NP-complete for all definitions of density, and we propose a set of efficient algorithms. Finally, we present experiments with synthetic and real datasets that show both the efficiency of our algorithms and the usefulness of the BFF and the O 2 BFF problems.
- Subjects
MATHEMATICAL connectedness; ALGORITHMS; SOCIAL networks; CLIENT/SERVER computing; COMPUTER networks
- Publication
Data Mining & Knowledge Discovery, 2019, Vol 33, Issue 5, p1417
- ISSN
1384-5810
- Publication type
Article
- DOI
10.1007/s10618-018-0602-x