On blocks and stars in fuzzy graphs

In this paper, we introduce block of a fuzzy graph. It generalizes the concept of blocks of a graph. Depending on the nature of blocks, we identify a particular class of fuzzy graphs named K2 block graphs and characterize them using strongest strong cycles. We also define fuzzy star and obtain a low...

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Veröffentlicht in:Journal of intelligent & fuzzy systems 2015, Vol.28 (4), p.1659-1665
Hauptverfasser: Anjali, N., Mathew, Sunil
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Mathew, Sunil
description In this paper, we introduce block of a fuzzy graph. It generalizes the concept of blocks of a graph. Depending on the nature of blocks, we identify a particular class of fuzzy graphs named K2 block graphs and characterize them using strongest strong cycles. We also define fuzzy star and obtain a lower bound for number of blocks in fuzzy stars. A possible application of block of a fuzzy graph is also included.
doi_str_mv 10.3233/IFS-141451
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subjects Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Graphs
Lower bounds
Stars
title On blocks and stars in fuzzy graphs
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