Solve the Dominating Set Problem (DSP) - PACE Challenge 2025
3 March 2025, by Omkar Kondhalkar

Photo: base.camp
Project aims to solve the Dominating Set Problem (DSP) on graphs for the PACE Challenge 2025. The goal is to develop highly effective exact and heuristic algorithms to find a minimal vertex set D that 'touches' all other vertices. Implementation will be in Rust, built upon prior theoretical insights into solution quality vs. runtime. The core process involves an iterative development cycle with rigorous performance profiling and optimization. The main focus is creating a practical heuristic capable of handling large graph instances efficiently. Success is measured by comparing runtime and solution quality against official benchmarks and other competitive methods.