Some Special Sequences in Fuzzy Graphs

Some Special Sequences in Fuzzy Graphs

In a fuzzy graph, the edges are mainly classified into α, β and δ. In this paper, some sequences in fuzzy graphs are introduced, whose concepts are based on the classification of edges. Besides, characterizations for blocks in fuzzy graphs and fuzzy trees are obtained. It is shown that β sequence of...

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Veröffentlicht in:Fuzzy information and engineering 2016-03, Vol.8 (1), p.31-40
Hauptverfasser: Mathew, Jill K., Mathew, Sunil
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-Sequence
Block
Fuzzy tree
Graph theory
Graphs
Strong sequence
α-Sequence
β-Sequence
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Zusammenfassung:In a fuzzy graph, the edges are mainly classified into α, β and δ. In this paper, some sequences in fuzzy graphs are introduced, whose concepts are based on the classification of edges. Besides, characterizations for blocks in fuzzy graphs and fuzzy trees are obtained. It is shown that β sequence of a fuzzy tree is a zero sequence and α sequence of a block is a binary sequence.
ISSN:1616-8658
1616-8666
DOI:10.1016/j.fiae.2016.03.003