| Title of paper:
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Fuzzy coloring and total fuzzy coloring of various types of intuitionistic fuzzy graphs
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| Author(s):
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| R. Buvaneswari
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| Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore - 8, Tamil Nadu, India
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| buvaneswarir@skasc.ac.in
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| P. Revathy
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| Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore - 8, Tamil Nadu, India
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| revaprabhu92@gmail.com
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| Presented at:
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Proceedings of the International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 383–400
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.4.383-400
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| Download:
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 PDF (308 Kb, File info)
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| Abstract:
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In this paper, fuzzy coloring and total fuzzy coloring of intuitionistic fuzzy graphs are introduced. The fuzzy chromatic number, fuzzy chromatic index, total fuzzy chromatic number and total fuzzy chromatic index of both vertices and edges in intuitionistic fuzzy graphs are defined and their properties are analysed with illustrations.
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| Keywords:
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Intuitionistic fuzzy graph, Fuzzy coloring, Total fuzzy coloring, Chromatic number, Fuzzy chromatic index, Total chromatic number.
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| AMS Classification:
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05C72.
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| References:
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- Karunambigai, M. G., Parvati, R., & Buvaneswari, R. (2011). Constant intuitionistic fuzzy graphs. Notes on Intuitionistic Fuzzy Sets, 17(1), 37–47.
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- Rifayathali, M. A., Prasanna, A., & Ismail Mohideen, S. (2018). Intuitionistic Fuzzy Graph Coloring. International Journal of Research and Analytical Reviews, 5(3), 734–742.
- Shannon, A. G., & Atanassov, K. T. (1994). A first step to a theory of the intuitionistic fuzzy graphs. Proceedings of the First Workshop on Fuzzy Based Expert Systems (D. Lakov, Ed.), Sofia, Sept. 28–30, 1994, 59–61.
- Yang, L., & Mao, H. (2019). Intuitionistic Fuzzy Threshold Graphs. Journal of Intelligent & Fuzzy Systems, IOS Press, 36(6), 6641–6651
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