Title
A simple deterministic algorithm for symmetric submodular maximization subject to a knapsack constraint
Abstract
We obtain a polynomial-time deterministic (2ee−1+ϵ)-approximation algorithm for maximizing symmetric submodular functions under a budget constraint. Although there exist randomized algorithms with better expected performance, our algorithm achieves the best known factor achieved by a deterministic algorithm, improving on the previously known factor of 6. Furthermore, it is simple, combining two elegant algorithms for related problems; the local search algorithm of Feige, Mirrokni and Vondrák [1] for unconstrained submodular maximization, and the greedy algorithm of Sviridenko [2] for non-decreasing submodular maximization subject to a knapsack constraint.
Year
DOI
Venue
2020
10.1016/j.ipl.2020.106010
Information Processing Letters
Keywords
DocType
Volume
Approximation algorithms,Submodular maximization,Symmetric submodular functions,Knapsack constraints
Journal
163
ISSN
Citations 
PageRank 
0020-0190
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
georgios amanatidis18613.32
Georgios Birmpas2147.48
Evangelos Markakis3122586.93