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K-Core Maximization through Edge Additions
- Publication Year :
- 2019
-
Abstract
- A popular model to measure the stability of a network is k-core - the maximal induced subgraph in which every vertex has at least k neighbors. Many studies maximize the number of vertices in k-core to improve the stability of a network. In this paper, we study the edge k-core problem: Given a graph G, an integer k and a budget b, add b edges to non-adjacent vertex pairs in G such that the k-core is maximized. We prove the problem is NP-hard and APX-hard. A heuristic algorithm is proposed on general graphs with effective optimization techniques. Comprehensive experiments on 9 real-life datasets demonstrate the effectiveness and the efficiency of our proposed methods.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1906.12334
- Document Type :
- Working Paper