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On the ABS spectrum and energy of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 شهریور 1404 اصل مقاله (471.88 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.30274.2603 | ||
| نویسندگان | ||
| Swathi Shetty؛ B.R. Rakshith* ؛ Sayinath Udupa N V | ||
| Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India | ||
| چکیده | ||
| Let $\eta_{1}\ge \eta_{2}\ge\cdots\ge \eta_{n}$ be the eigenvalues of $\mathcal{ABS}$ matrix. In this paper, we characterize connected graphs with $\mathcal{ABS}$ eigenvalue $\eta_{n}>-1$. As a result, we determine all connected graphs with exactly two distinct $\mathcal{ABS}$ eigenvalues. We show that a connected bipartite graph has three distinct $\mathcal{ABS}$ eigenvalues if and only if it is a complete bipartite graph. Furthermore, we present some bounds for the $\mathcal{ABS}$ spectral radius (resp. $\mathcal{ABS}$ energy) and characterize extremal graphs. Also, we obtain a relation between $\mathcal{ABC}$ energy and $\mathcal{ABS}$ energy. Finally, the chemical importance of $\mathcal{ABS}$ energy is investigated and it shown that the $\mathcal{ABS}$ energy is useful in predicting certain properties of molecules. | ||
| کلیدواژه‌ها | ||
| $\mathcal{ABS}$ matrix؛ spectral radius؛ $\mathcal{ABS}$ energy؛ QSPR analysis | ||
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آمار تعداد مشاهده مقاله: 61 تعداد دریافت فایل اصل مقاله: 34 |
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