2018/04/19 by Markus Chimani, Chimani, Markus, Ivo Hedtke +3
Computer Science · #Advanced Graph Theory Research #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences
paper · pdf · doi:10.48550/arxiv.1804.07143
openalex publication_date 2018/04/19 · openalex created_date 2018/04/24 · openalex updated_date 2026/07/28
Given a graph G, the NP-hard Maximum Planar Subgraph problem asks for a planar subgraph of G with the maximum number of edges. The only known non-trivial exact algorithm utilizes Kuratowski's famous planarity criterion and can be formulated as an integer linear program (ILP) or a pseudo-boolean satisfiability problem (PBS). We examine three alternative characterizations of planarity regarding their applicability to model maximum planar subgraphs. For each, we consider both ILP and PBS variants, investigate diverse formulation aspects, and evaluate their practical performance.