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Research Paper | Mathematics | India | Volume 6 Issue 11, November 2017 | Popularity: 6.1 / 10

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On (3, k)-Regular Fuzzy Graphs

S. Meena Devi, M. Andal

Abstract: In this paper, we defined d3-degree of a vertex in fuzzy graphs, total d3 -degree of a vertex in fuzzy graphs, (3, k) -regular fuzzy graphs and totally (3, k) - regular fuzzy graphs. (3, k) -regular fuzzy graphs and totally (3, k) -regular fuzzy graphs are compared through various examples. A necessary and sufficient condition under which they are equivalent is provided. Also, (3, k) -regularity on some fuzzy graphs whose underlying crisp graphs are a path on six vertices P6, a Corona graph Cn K1 (n5), a Wagner graph and a cycle Cn (n5) is studied with some membership function. Some properties of (3, k) -regular fuzzy graphs studied and they are examined for totally (3, k) -regular fuzzy graphs.

Keywords: d3- degree of a vertex in fuzzy graphs, total d3- degree of a vertex in fuzzy graphs, 3, k -regular fuzzy graphs, totally 3, k -regular fuzzy graphs

Edition: Volume 6 Issue 11, November 2017

Pages: 959 - 967

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