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Saturation in Fuzzy Graphs

Author

Listed:
  • Sunil Mathew

    (Department of Mathematics, NIT Calicut, Kerala 673601, India)

  • Hai Long Yang

    (College of Mathematics and Information Science, Shaanxi Normal University, 710119, China)

  • Jill K. Mathew

    (Department of Mathematics, Mar Ivanios College, Thiruvananthapuram, Kerala 695015, India)

Abstract

Edges of a fuzzy graph are mainly classified into α, β and δ. In this paper, we study certain saturation counts with respect to the classification of edges. Characterizations for fuzzy cycles, fuzzy trees, blocks in fuzzy graphs and complete fuzzy graphs are also obtained using saturation counts.

Suggested Citation

  • Sunil Mathew & Hai Long Yang & Jill K. Mathew, 2018. "Saturation in Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 113-128, March.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:01:n:s1793005718500084
    DOI: 10.1142/S1793005718500084
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    Cited by:

    1. Abdulaziz M. Alanazi & Ghulam Muhiuddin & Bashair M. Alenazi & Tanmoy Mahapatra & Madhumangal Pal, 2023. "Utilizing m -Polar Fuzzy Saturation Graphs for Optimized Allocation Problem Solutions," Mathematics, MDPI, vol. 11(19), pages 1-18, September.
    2. Arya Sebastian & John N Mordeson & Sunil Mathew, 2020. "Generalized Fuzzy Graph Connectivity Parameters with Application to Human Trafficking," Mathematics, MDPI, vol. 8(3), pages 1-21, March.

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