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A Spectral Study of Laplacian Spread in Fuzzy Graphs | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 مرداد 1405 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.31225.1815 | ||
| نویسندگان | ||
| SENBAGA PRIYA K* 1؛ VISHALAKSHI K2؛ SELVA NANDHINI N2؛ Farshid Mofidnakhaei M3 | ||
| 1Department of Science and Humanities, Dr. Mahalingam College of Engineering and Technology, Coimbatore, Tamil Nadu, India. | ||
| 2Department of Science and Humanities, Dr. Mahalingam College of Engineering and Technology, Coimbatore, Tamil Nadu, India. | ||
| 3Department of Physics, Sar.C., Islamic Azad University, Sari, Iran. | ||
| تاریخ دریافت: 18 بهمن 1404، تاریخ بازنگری: 22 تیر 1405، تاریخ پذیرش: 06 مرداد 1405 | ||
| چکیده | ||
| This paper introduces the concept of the fuzzy Laplacian spread as a spectral measure for quantifying structural variability in fuzzy graphs. Fundamental properties of the fuzzy Laplacian spread are established and analyzed. Several sharp upper and lower bounds are derived in terms of fuzzy degree parameters and total fuzzy edge weight. Fuzzy analogues of Nordhaus Gaddum type inequalities are also obtained. Illustrative examples are provided to demonstrate the tightness of the proposed bounds. The results extend classical Laplacian spread theory to the fuzzy graph framework. | ||
| کلیدواژهها | ||
| Fuzzy graph؛ Laplacian spread؛ spectral bounds | ||
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آمار تعداد مشاهده مقاله: 8 |
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