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The normalized signless Laplacian Estrada index of graphs | ||
| Transactions on Combinatorics | ||
| دوره 12، شماره 3، آذر 2023، صفحه 131-142 اصل مقاله (499.36 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2022.127155.1814 | ||
| نویسندگان | ||
| Ş. Burcu Bozkurt Altındağ* 1؛ Emina I. Milovanovic2؛ Marjan Matejic2؛ Igor Milovanovic2 | ||
| 1Yenikent Kardelen Konutları, Selçuklu, Konya, Turkey | ||
| 2Faculty of Electronic Engineering, University of Niš, Niš, Serbia | ||
| چکیده | ||
| Let $G$ be a simple connected graph of order $n$ with $m$ edges. Denote by $% \gamma _{1}^{+}\geq \gamma _{2}^{+}\geq \cdots \geq \gamma _{n}^{+}\geq 0$ the normalized signless Laplacian eigenvalues of $G$. In this work, we define the normalized signless Laplacian Estrada index of $G$ as $NSEE\left(G\right) =\sum_{i=1}^{n}e^{\gamma _{i}^{+}}.$ Some lower bounds on $%NSEE\left( G\right) $ are also established. | ||
| کلیدواژه‌ها | ||
| Normalized signless Laplacian eigenvalues؛ Topological indices (of graph)؛ Estrada index (of graph) | ||
| مراجع | ||
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