Saturation in Fuzzy Graphs

Sunil Mathew, Hai Long Yang () and Jill K. Mathew ()
Additional contact information
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

New Mathematics and Natural Computation (NMNC), 2018, vol. 14, issue 01, 113-128

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.

Keywords: Fuzzy graph; strong edge; fuzzy tree; block (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S1793005718500084

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