On solving the densest k-subgraph problem on large graphs. (1st November 2020)

• Record Type: Journal Article
• Authors: Sotirov, Renata
• Is Part Of: Optimization methods and software. Volume 35:Number 6(2020)
• Page Start: 1160
• Page End: 1178
• Publication Date: 2020-11-01
• Subjects: Densest k-subgraph problem -- random coordinate descent algorithm -- large graphs; 90C06 -- 90C30 -- 90C26; Mathematical optimization -- Periodicals; Algorithms -- Periodicals; 519.7
• DOI: 10.1080/10556788.2019.1595620
• Languages: English
• ISSNs: 1055-6788

Abstract

ABSTRACT: The densest k -subgraph problem is the problem of finding a k -vertex subgraph of a graph with the maximum number of edges. In order to solve large instances of the densest k -subgraph problem, we introduce two algorithms that are based on the random coordinate descent approach. Although it is common use to update at most two random coordinates simultaneously in each iteration of an algorithm, our algorithms may simultaneously update many coordinates. We show the benefit of updating more than two coordinates simultaneously for solving the densest k -subgraph problem, and solve large problem instances with up to 2 15 vertices.