On the properties of anti fuzzy graph magic labeling

In crisp graphs, if a graph G is given then we can define line graph L(G) of it. In a similar way, for a given fuzzy graph, we can determine its fuzzy line graph. A number of important results about fuzzy line graphs have been obtained. However, study of anti fuzzy line graphs is still open. Motivated by this, we are interested in studying anti fuzzy line graphs. In this paper, we define the concept of anti fuzzy line graphs. We derive a necessary and sufficient condition for an anti fuzzy graph to be isomorphic to its corresponding anti fuzzy line graph. We investigate when an isomorphism between two anti fuzzy graphs follows from an isomorphism of their corresponding anti fuzzy line graphs. We conjecture a necessary and sufficient condition for an anti fuzzy graph to be the anti fuzzy line graph of some anti fuzzy graph. In particular, we give some result related to regular anti fuzzy line graphs.

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On Vertice and Edge Regular Anti Fuzzy Graphs

Nusantara

Rahmadani

Hafiizh

et al. 2021

J. Phys.: Conf. Ser.

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The concept of regular fuzzy graphs has many applications, especially in jobs that involve network distribution, such as electricity, gas, and energy. In this article, we introduce the degree of vertices, the total degree of vertices, the degree of edge, the total degree of edge, the regular anti fuzzy graphs, and the total regular anti fuzzy. We derived some basic properties of regular and total regular anti fuzzy graphs, included the comparison of both troughs some various examples. We also showed the necessary and sufficient conditions under which their equivalence. We described some properties of regular anti fuzzy graphs and examined for totally regular anti fuzzy graphs.

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On the properties of anti fuzzy graph magic labeling

Cited by 4 publications

References 5 publications

Regular preserved property on the product of anti fuzzy graph cycle

Regular preserved property on the product of anti fuzzy graph cycle

Anti Fuzzy Line Graphs

On Vertice and Edge Regular Anti Fuzzy Graphs

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