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Laplacian Energy of a Complex Neutrosophic Graph

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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 369))

Abstract

After introducing and developing neutrosophic set theory, several research has been conducted in this area. In this chapter, the concept of energy of fuzzy graph, intuitionistic fuzzy graph , single valued neutrosophic graph are extended to the energy of a complex neutrosophic graph . We have defined the adjacency matrix of a complex neutrosophic graph and the energy of complex neutrosophic graph is defined in terms of its adjacency matrix. The lower and upper bounds for the energy of complex neutrosophic graph are also derived. In addition, we have defined the concept of Laplacian energy of a complex neutrosophic graph. A numerical example is provided for these concepts.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Pakistan

    Mohsin Khan

  2. Department of Mathematics, Govt Post Graduate College for Women, Mardan, 23200, Pakistan

    Sadaf Umar

  3. Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco

    Said Broumi

Authors
  1. Mohsin Khan
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  2. Sadaf Umar
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  3. Said Broumi
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Corresponding author

Correspondence to Mohsin Khan .

Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey

    Cengiz Kahraman

  2. Department of Industrial Engineering, Istanbul Okan University, Akfirat-Tuzla, Istanbul, Turkey

    İrem Otay

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Khan, M., Umar, S., Broumi, S. (2019). Laplacian Energy of a Complex Neutrosophic Graph. In: Kahraman, C., Otay, İ. (eds) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Studies in Fuzziness and Soft Computing, vol 369. Springer, Cham. https://doi.org/10.1007/978-3-030-00045-5_9

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