# Equitable Associate Fuzzy Graph of a Fuzzy Graph

Volume 16, Issue 1, pp 1-7
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### Abstract

Let $G= (V, \sigma, \mu)$ be a fuzzy graph. Let $H$ be the graph constructed from $G$ as follows $V(H) =V(G)$, two points $u$ and $v$ are adjacent in $H$ if and only if $u$ and $v$ are adjacent and degree fuzzy equitable in $G$. $H$ is called the adjacency inherent fuzzy equitable graph of $G$ or fuzzy equitable associate graph of $G$ and is denoted by $e^{ef}(G)$. In this paper we introduced the concept of fuzzy equitable associate graph and obtain some interesting results for this new parameter in fuzzy equitable associate graph.

### Keywords

• Fuzzy equitable dominating set
• fuzzy equitable associate graph
• pre-e-fuzzy equitable graph
• degree equitable fuzzy graph.

•  05C72

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