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Fuzzy k-competition graphs and p-competition fuzzy graphs

Author

Listed:
  • Sovan Samanta

    (Vidyasagar University)

  • Madhumangal Pal

    (Vidyasagar University)

Abstract

Fuzzy competition graph as a generalization of competition graph is introduced here. Two generalizations of fuzzy competition graph as fuzzy k-competition graphs and p-competition fuzzy graphs are also defined. These graphs are related to fuzzy digraphs. Fuzzy neighbourhood graphs, related to fuzzy graphs, are also defined here. Besides, some relations between fuzzy competition graphs and fuzzy neighbourhood graphs have been established. And finally, several results to find strong edges of the above mentioned graphs have also been established.

Suggested Citation

  • Sovan Samanta & Madhumangal Pal, 2013. "Fuzzy k-competition graphs and p-competition fuzzy graphs," Fuzzy Information and Engineering, Springer, vol. 5(2), pages 191-204, June.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:2:d:10.1007_s12543-013-0140-6
    DOI: 10.1007/s12543-013-0140-6
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    References listed on IDEAS

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    1. Muñoz, Susana & Teresa Ortuño, M. & Ramírez, Javier & Yáñez, Javier, 2005. "Coloring fuzzy graphs," Omega, Elsevier, vol. 33(3), pages 211-221, June.
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    Cited by:

    1. Tarasankar Pramanik & G. Muhiuddin & Abdulaziz M. Alanazi & Madhumangal Pal, 2020. "An Extension of Fuzzy Competition Graph and Its Uses in Manufacturing Industries," Mathematics, MDPI, vol. 8(6), pages 1-23, June.
    2. Ghulam Muhiuddin & Sovan Samanta & Abdulrahman F. Aljohani & Abeer M. Alkhaibari, 2023. "A Study on Graph Centrality Measures of Different Diseases Due to DNA Sequencing," Mathematics, MDPI, vol. 11(14), pages 1-18, July.
    3. Malinka Ivanova & Mariana Durcheva, 2023. "M-Polar Fuzzy Graphs and Deep Learning for the Design of Analog Amplifiers," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    4. Amna Habib & Muhammad Akram & Adeel Farooq, 2019. "q -Rung Orthopair Fuzzy Competition Graphs with Application in the Soil Ecosystem," Mathematics, MDPI, vol. 7(1), pages 1-33, January.
    5. Muhammad Akram & Musavarah Sarwar, 2018. "New Applications of m-Polar Fuzzy Competition Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 249-276, July.

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