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Neighborhood connectivity index of a fuzzy graph and its application to human trafficking | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 19، شماره 3، مرداد و شهریور 2022، صفحه 139-154 اصل مقاله (434.05 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6948 | ||
| نویسندگان | ||
| A. Josy* 1؛ S. Mathew1؛ J. N. Mordeson2 | ||
| 1Department of Mathematics, National Institute of Technology Calicut, India 673601 | ||
| 2Department of Mathematics, Creighton University, USA 68178 | ||
| چکیده | ||
| Connectivity is an inevitable part of fuzzy graph theory. This article discusses about a parameter in fuzzy graph theory termed as neighborhood connectivity index. Several bounds and index values of structures like trees, cycles and complete fuzzy graphs are obtained. Generalized formula for neighborhood connectivity index of fuzzy graphs obtained by operations like union, join, composition, Cartesian product and tensor product are also developed. An algorithm for finding neighborhood connectivity index is also proposed. On practical grounds, a human trafficking problem is discussed as a real-life application. | ||
| کلیدواژه‌ها | ||
| Fuzzy graph؛ connectivity؛ neighborhood connectivity index؛ human trafficking | ||
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آمار تعداد مشاهده مقاله: 419 تعداد دریافت فایل اصل مقاله: 400 |
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