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A Fuzzy graph is a type of mathematical structure that shows connections among objects. In this work, we proposed the extension of the Fuzzy Graceful Labeling Graph in to Modified Fuzzy Graceful Labeling (MFGL) Graph. In order to ensure MFGL, the edge value are greater than equal to the maximum value of its endpoints by difference of its endpoints. The proposed methodology is examined on the \(S_{n} + K_{2}\) , \(P_{n} + P_{3}\) , \(P_{n}\) + \(P_{2}\) . Finally, we analyze the application oriented potential practical implications and usage of the relevant sectors.

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A Study on Modified Fuzzy Graceful Labeling Graphs

  • 会议论文

  • 发表日期：

    2025年

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  • P. K. Hemalatha,
  • R. Shanmugapriya,
  • D. Kanagajothi,
  • M. Vasuki

摘要

A Fuzzy graph is a type of mathematical structure that shows connections among objects. In this work, we proposed the extension of the Fuzzy Graceful Labeling Graph in to Modified Fuzzy Graceful Labeling (MFGL) Graph. In order to ensure MFGL, the edge value are greater than equal to the maximum value of its endpoints by difference of its endpoints. The proposed methodology is examined on the \(S_{n} + K_{2}\) , \(P_{n} + P_{3}\) , \(P_{n}\) + \(P_{2}\) . Finally, we analyze the application oriented potential practical implications and usage of the relevant sectors.