QUBO formulation for the Snake-in-the-box and Coil-in-the-box problems
Optimization and Control
2024-09-10 v1 Combinatorics
Quantum Physics
Abstract
This paper present the first QUBO formulations for the Snake-in-the-box (SITB) and Coil-in-the-box (CITB) problems. Both formulations are also capable of solving the NP-Hard problems of Maximum induced path and Maximum induced cylce respectively. In the process we also found a new QUBO formulation for the Maximum Common Induced Sub-graph problem. We proved the correctness of our formulations for the SITB, CITB and Maximum Common Sub-graph problem, and tested the formulations of the SITB and CITB in both classical and quantum solvers, being able to get the best solution for up to 5 dimensions.
Cite
@article{arxiv.2409.04476,
title = {QUBO formulation for the Snake-in-the-box and Coil-in-the-box problems},
author = {Federico Fuidio and Eduardo Canale and Rafael Sotelo},
journal= {arXiv preprint arXiv:2409.04476},
year = {2024}
}
Comments
Presented in TLISC 2024 at 50 CLEI