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...

Full description

Bibliographic Details
Main Authors: Jill K. Mathew, Sunil Mathew
Format: Article
Language:English
Published: Taylor & Francis Group 2016-03-01
Series:Fuzzy Information and Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1616865816300036
Description
Summary: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