Bipolar fuzzy outerplanar graphs approach in image shrinking

Abstract Bipolar fuzzy outerplanar graphs are interesting and significant subclasses within the broader field of fuzzy graph theory. In this paper, bipolar fuzzy outerplanar graphs, and its properties are introduced. The subgraphs of bipolar fuzzy outerplanar graphs are identified by removing few ve...

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Bibliographic Details

Published in:	Scientific Reports
Main Authors:	Deivanai Jaisankar, Sujatha Ramalingam, Nagarajan Deivanayagampillai, Tadesse Walelign
Format:	Article
Language:	English
Published:	Nature Portfolio 2025-07-01
Subjects:	Bipolar fuzzy graph Bipolar fuzzy dual graphs VD and ED bipolar fuzzy outerplanar subgraphs Bipolar maximum and maximal fuzzy outerplanar subgraphs
Online Access:	https://doi.org/10.1038/s41598-025-03342-8