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New Algorithms for Bipolar Single-Valued Neutrosophic Hamiltonian Cycle

In: Neutrosophic Operational Research

Author

Listed:
  • M. Lathamaheswari

    (Hindustan Institute of Technology and Science)

  • Said Broumi

    (Faculty of Science Ben M’Sik, University Hassan II)

  • Florentin Smarandache

    (University of New Mexico)

Abstract

As the Hamiltonian cycle covers all the different vertices without any repetition in a network, it enables the decision-maker to take the decision into account for a planning. Many of the real-world problems contain indeterminacy and bipolarity in nature. To deal with both the issues, we propose new algorithms to find the Hamiltonian cycle based on adjacency matrix and the lowest vertex degree under bipolar single-valued neutrosophic environment. Also we modified the score function of the bipolar single-valued neutrosophic numbers and used in these proposed algorithms. Comparative analysis is done with the existing methods to show the effectiveness of the proposed work.

Suggested Citation

  • M. Lathamaheswari & Said Broumi & Florentin Smarandache, 2021. "New Algorithms for Bipolar Single-Valued Neutrosophic Hamiltonian Cycle," Springer Books, in: Florentin Smarandache & Mohamed Abdel-Basset (ed.), Neutrosophic Operational Research, pages 171-186, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57197-9_9
    DOI: 10.1007/978-3-030-57197-9_9
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