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The Minimum Wiener Connector Problem

Summary: Defines the Minimum Wiener Connector problem: find a subgraph that connects Q with minimum Wiener index. Shows NP-hardness (no PTAS unless P=NP); presents a constant-factor O(|Q||E|) approximation (polylog factors) and an exact algorithm for bounded |Q|, with experiments confirming smaller, denser solutions by adding a few high-centrality vertices. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
5066
Venue
SIGMOD
Year
2015
Pagerank
4.8144713e-05
Overall Rank
7,157 | 50.22%
DOI
10.1145/2723372.2749449

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Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
283 Querying K-Truss Community in Large and Dynamic Graphs 2014 SIGMOD 0.00029041257
353 Local Search of Communities in Large Graphs 2014 SIGMOD 0.00026277992
370 Online Search of Overlapping Communities 2013 SIGMOD 0.00025415479
1,641 Fast and Exact Top-k Search for Random Walk with Restart 2012 VLDB 0.00011047924
5,946 Reverse Top-k Search using Random Walk with Restart 2014 VLDB 5.2616887e-05
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