Published February 29, 2020
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Fuzzy Metric Dimension of Fuzzy Hypercube Qn and Fuzzy Boolean Graphs
Creators
- 1. Research Scholar, Department of mathematics, Government Arts college for Women (Autonomuos), Pudukkottai, affiliated to Bharathidasan University (Tiruchirappalli), Tamilnadu, India
- 2. Principal (Retd.), Government Arts College for Women, Sivagangai, India.
Contributors
- 1. Publisher
Description
Let G = (V, E, ) be a fuzzy graph. Let M be a subset of V. M is said to be a fuzzy metric basis of G if for every pair of vertices x, y V ‒ M, there exists a vertex w M such that d (w, x) d (w, y). The number of elements in M is said to be fuzzy metric dimension (FMD) of G and is denoted by (G). The elements in M are called as source vertices. In this paper, we study the fuzzy metric dimension of fuzzy hypercube Qn, fuuzy Boolean Graph BG2 (G) and fuzzy Boolean Graph BG3 (G).
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- Journal article: 2249-8958 (ISSN)
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- ISSN
- 2249-8958
- Retrieval Number
- C6226029320/2020©BEIESP