QUBO formulation for the Snake-in-the-box and Coil-in-the-box problems.
Resumen:
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.
| 2024 | |
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QUBO Quantum Annealer Snake in the box Coil in the box Maximum common induced sub-graph problem |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/49743 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
