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Central indices energy of special graphs | ||
| Journal of Mathematical Nanoscience | ||
| دوره 9، شماره 1، شهریور 2019، صفحه 1-8 اصل مقاله (119.66 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22061/jmns.2019.1639 | ||
| نویسندگان | ||
Samira Sabeti  ؛ Saeed Mohammadian Semnani
| ||
| Semnan University | ||
| تاریخ دریافت: 08 آذر 1400، تاریخ پذیرش: 08 آذر 1400 | ||
| چکیده | ||
| Given a graph $ G $ with vertex set $ V (G) = \\\\\\\\{v_1, v_2, \\\\\\\\cdots, v_n\\\\\\\\} $. Let $ d_i $ be the degree of the vertex $ v_i $ in $G$ for $ i = 1, 2, \\\\\\\\cdots, n$. We introduce the sum of degrees and the product of degrees matrices of a graph. Furthermore, we consider the central indices matrix as an Arithmetic mean matrix, Geometric mean matrix, and Harmonic mean matrix. The spectral of these matrices has been computed. In this paper, we investigate the central indices energy of some classes of graphs, and several results concerning its energy have been obtained. | ||
| کلیدواژه‌ها | ||
| eigenvalue of a graph؛ energy؛ geometric mean energy؛ arithmetic mean energy؛ harmonic mean energy | ||
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آمار تعداد مشاهده مقاله: 131 تعداد دریافت فایل اصل مقاله: 36 |
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