Por favor, use este identificador para citar o enlazar este ítem: https://hdl.handle.net/20.500.12008/49743

Título:

QUBO formulation for the Snake-in-the-box and Coil-in-the-box problems.

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Autor:

Fuidio, Federico
Canale, Eduardo
Sotelo, Rafael

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Tipo de documento:

Preprint

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Palabras clave:

QUBO
Quantum Annealer
Snake in the box
Coil in the box
Maximum common induced sub-graph problem

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Año de publicación:

2024

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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.

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Fuidio, F., Canale, E. y Sotelo, R. QUBO formulation for the Snake-in-the-box and Coil-in-the-box problems [Preprint]. DOI: 10.48550/arXiv.2409.04476.

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Licencia Creative Commons Atribución (CC - By 4.0)
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