Title
A Convex-Programming Approach for Efficient Directed Densest Subgraph Discovery
Abstract
Given a directed graph G, the directed densest subgraph (DDS) problem refers to finding a subgraph from G, whose density is the highest among all subgraphs of G. The DDS problem is fundamental to a wide range of applications, such as fake follower detection and community mining. Theoretically, the DDS problem closely connects to other essential graph problems, such as network flow and bipartite matching. However, existing DDS solutions suffer from efficiency and scalability issues. In this paper, we develop a convex-programming-based solution by transforming the DDS problem into a set of linear programs. Based on the duality of linear programs, we develop efficient exact and approximation algorithms. Especially, our approximation algorithm can support flexible parameterized approximation guarantees. We have performed an extensive empirical evaluation of our approaches on eight real large datasets. The results show that our proposed algorithms are up to five orders of magnitude faster than the state-of-the-art.
Year
DOI
Venue
2022
10.1145/3514221.3517837
PROCEEDINGS OF THE 2022 INTERNATIONAL CONFERENCE ON MANAGEMENT OF DATA (SIGMOD '22)
Keywords
DocType
ISSN
densest subgraph discovery, directed graphs, convex programming
Conference
0730-8078
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Chenhao Ma101.69
Yixiang Fang222723.06
Reynold Cheng33069154.13
Laks V. S. Lakshmanan46216696.78
Xiaolin Han500.34