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A computational DNA solution approach for the quadratic Diophantine equation

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Publication:275220
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DOI10.1016/j.amc.2014.04.022zbMath1334.11094OpenAlexW2004192306MaRDI QIDQ275220

Nei Yoshihiro Soma, Carlos Alberto Alonso Sanches

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.022


zbMATH Keywords

quadratic Diophantine equationparallel algorithmDNA computingNP-complete


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Computational number theory (11Y99)


Related Items (2)

Solving two-dimensional cutting stock problem via a DNA computing algorithm ⋮ Diophantine approximation over primes with different powers



Cites Work

  • Molecular solution to the 0-1 knapsack problem based on DNA computing
  • A polynomial-time DNA computing solution for the bin-packing problem
  • NP-complete decision problems for binary quadratics
  • A DNA-based graph encoding scheme with its applications to graph isomorphism problems
  • A DNA-based solution to the graph isomorphism problem using Adleman-Lipton model with stickers
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