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Complementary distance Seidel equienergetic graphs | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 11، شماره 2، شهریور 2026، صفحه 99-106 اصل مقاله (326.88 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2025.12527.1165 | ||
| نویسندگان | ||
| Indulal G Gopalapillai* 1؛ Deena Scaria2؛ Jinu Mary3 | ||
| 1st aloysius college edathua | ||
| 2St Aloysius College, Edathua | ||
| 3SBC Changanacheryt | ||
| تاریخ دریافت: 27 شهریور 1404، تاریخ بازنگری: 22 آبان 1404، تاریخ پذیرش: 16 آذر 1404 | ||
| چکیده | ||
| The distance matrix, its eigenvalues, and the corresponding distance energy of a connected graph have been extensively studied in the literature. However, research on the Distance Seidel matrix associated with a connected graph remains in its developmental stages. The Distance Seidel matrix of a graph yields the Distance Seidel eigenvalues $\partial_1^S \geq \partial_2^S \geqslant\ldots, \partial_n^S $, which together constitute the Distance Seidel spectrum of $G$. In \cite{ram}\,, the authors introduced the complementary distance matrix and studied its properties. Motivated by these we introduce the complementary distance seidel matrix of a connected graph and obtain some results for some classes of graphs. In this paper, we investigate the Complementary Distance Seidel Spectrum of complement of line graphs of regular graphs. | ||
| کلیدواژهها | ||
| complementary distance Seidel matrix؛ complementary distance Seidel spectrum, complementary distance Seidel equienergetic graphs | ||
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آمار تعداد مشاهده مقاله: 5 تعداد دریافت فایل اصل مقاله: 3 |
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