| Title of paper:
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Menger's theorem for intuitionistic fuzzy graphs
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| Author(s):
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| M. G. Karunambigai
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| Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India
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| karunsvc@yahoo.in
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| R. Buvaneswari
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| Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India
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| buvanaamohan@gmail.com
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| Presented at:
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4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference, 3–7 May 2017, Mersin, Turkey
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| Published in:
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"Notes on IFS", Volume 23, 2017, Number 1, pages 70—78
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| Download:
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 PDF (157 Kb Kb, Info)
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| Abstract:
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In this paper, the concept of strength reducing set of vertices and edges have been introduced. Using it, Menger’s theorem for intuitionistic fuzzy graphs has been proved.
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| Keywords:
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Strength reducing set of vertices, Strength reducing set of edges, Minimum strength reducing set of vertices, Minimum strength reducing set of edges.
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| AMS Classification:
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03E72.
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| References:
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- Karunambigai, M. G. & Parvathi, R. (2006). Intuitionistic fuzzy graphs, Proceedings of 9th Fuzzy Days International Conference on Computational Intelligence, Advances in soft computing: Computational Intelligence,Theory and Applications, Springer-Verlag, 20, 139–150.
- Karunambigai, M. G., Parvathi, R. & Buvaneswari, R. (2012). Arcs in intuitionistic fuzzy graphs, Notes of Intuitionistic Fuzzy Sets, 18(4), 48–58.
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