Hilbert's tenth problem
A New Public-Key Cipher System Based Upon the Diophantine Equations
IEEE Transactions on Computers
Artificial Life
Cryptanalysis of a Diophantine Equation Oriented Public Key Cryptosystem
IEEE Transactions on Computers
Two-Way Counter Machines and Diophantine Equations
Journal of the ACM (JACM)
Artificial Intelligence: Structures and Strategies for Complex Problem Solving
Artificial Intelligence: Structures and Strategies for Complex Problem Solving
Computational Intelligence: An Introduction
Computational Intelligence: An Introduction
Trapezoid Self-Scheduling: A Practical Scheduling Scheme for Parallel Compilers
IEEE Transactions on Parallel and Distributed Systems
Parameter Selection in Particle Swarm Optimization
EP '98 Proceedings of the 7th International Conference on Evolutionary Programming VII
Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
On two-way FA with monotonic counters and quadratic Diophantine equations
Theoretical Computer Science
An analysis of cooperative coevolutionary algorithms
An analysis of cooperative coevolutionary algorithms
Population structure and particle swarm performance
CEC '02 Proceedings of the Evolutionary Computation on 2002. CEC '02. Proceedings of the 2002 Congress - Volume 02
Population structure and particle swarm performance
CEC '02 Proceedings of the Evolutionary Computation on 2002. CEC '02. Proceedings of the 2002 Congress - Volume 02
New methods for competitive coevolution
Evolutionary Computation
Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients
IEEE Transactions on Evolutionary Computation
A novel constraint multi-objective artificial physics optimisation algorithm and its convergence
International Journal of Innovative Computing and Applications
Particle swarm optimisation with simple and efficient neighbourhood search strategies
International Journal of Innovative Computing and Applications
The optimisation research of screw conveyor
International Journal of Innovative Computing and Applications
International Journal of Wireless and Mobile Computing
Using QIGSO with steepest gradient descent strategy to direct orbits of chaotic systems
International Journal of Computational Science and Engineering
Using group-decided Watts-Strogatz particle swarm optimisation to direct orbits of chaotic systems
International Journal of Wireless and Mobile Computing
International Journal of Innovative Computing and Applications
Analysis of adaptive proportional fair scheduling method on BD-GMD scheme for MIMO systems
International Journal of Wireless and Mobile Computing
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The paper introduces particle swarm optimisation as a viable strategy to find numerical solution of Diophantine equation, for which there exists no general method of finding solutions. The proposed methodology uses a population of integer particles. The candidate solutions in the feasible space are optimised to have better positions through particle best and global best positions. The methodology, which follows fully connected neighbourhood topology, can offer many solutions of such equations.