Certain Classes of Fuzzy Graphs

Authors

  • Talal Ali Al-Hawary Full Prof. of Mathematics

Keywords:

Fuzzy graph, complete fuzzy graph, balanced fuzzy graph, parallel connection, series connection.

Abstract

In this paper, several classes of fuzzy graphs are characterized and we provide two new operations on fuzzy graphs; namely parallel connection and series connection. We show that parallel connection and series connection of balanced fuzzy graphs need not be balanced and they are balanced in case the original graphs are induced by cycles. Finally, we study the notions of strong and complete via these operations.

Author Biography

  • Talal Ali Al-Hawary, Full Prof. of Mathematics
    Prof.- Dept. of Mathematics

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Published

2017-04-20

Issue

Vol. 10 No. 3: (April 2017)

Section

Mathematical and Fuzzy Logic

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How to Cite

Certain Classes of Fuzzy Graphs. (2017). European Journal of Pure and Applied Mathematics, 10(3), 552-560. https://www.ejpam.com/index.php/ejpam/article/view/3001