On Product of Total and Range Fuzzy Edge Labeling of Middle graph of Fuzzy Graphs

Authors

  • Geetha D Sri Ramakrishna Mission Vidyalaya College of Arts and Science,Coimbatore, Tamil Nadu, India.
  • Santhosh Kumar S Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641020, India.
  • Indumathi P Karpagam College of Engineering, Coimbatore, India

DOI:

https://doi.org/10.70917/ijcisim-2026-3561

Keywords:

Product of total and range fuzzy edge labelling, Fuzzy path, Fuzzy cycle, Fuzzy middle graph, Fuzzy splitting graph, Fuzzy shadow graph, Fuzzy line graph, Total fuzzy graph, Fuzzy subdivision graph.

Abstract

This paper studies the product of total and range fuzzy edge labeling for path, cycle, star, and ladder graphs. Particular emphasis is given to the construction and analysis of their corresponding fuzzy middle graphs. The study is further extended to fuzzy splitting, shadow, line, total, and subdivision graphs. It is established that all these graphs admit the product of total and range fuzzy edge labeling. The results extend fuzzy graph labeling theory and provide a unified framework for analysis.

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Published

2026-07-21

How to Cite

Geetha D, Santhosh Kumar S, & Indumathi P. (2026). On Product of Total and Range Fuzzy Edge Labeling of Middle graph of Fuzzy Graphs. International Journal of Computer Information Systems and Industrial Management Applications, 18(9s), 1421–1433. https://doi.org/10.70917/ijcisim-2026-3561

Issue

Vol. 18 No. 9s (2026)

Section

Original Articles