The normalized signless laplacian estrada index of graphs
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(...
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| Format: | Article |
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University of Isfahan
2023-09-01
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| Series: | Transactions on Combinatorics |
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| Online Access: | https://toc.ui.ac.ir/article_26789_9c9907d54350ec8e47c22a708eaa9627.pdf |
| _version_ | 1811344316862300160 |
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| author | Ş. Burcu Bozkurt Altındağ Emina Milovanovic Marjan Matejic Igor Milovanovic |
| author_facet | Ş. Burcu Bozkurt Altındağ Emina Milovanovic Marjan Matejic Igor Milovanovic |
| author_sort | Ş. Burcu Bozkurt Altındağ |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T19:45:30Z |
| format | Article |
| id | doaj.art-9b5677d1536144d8b4d58e77bbf7b9af |
| institution | Directory Open Access Journal |
| issn | 2251-8657 2251-8665 |
| language | English |
| last_indexed | 2024-04-13T19:45:30Z |
| publishDate | 2023-09-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | Transactions on Combinatorics |
| spelling | doaj.art-9b5677d1536144d8b4d58e77bbf7b9af2022-12-22T02:32:45ZengUniversity of IsfahanTransactions on Combinatorics2251-86572251-86652023-09-0112313114210.22108/toc.2022.127155.181426789The normalized signless laplacian estrada index of graphsŞ. Burcu Bozkurt Altındağ0Emina Milovanovic1Marjan Matejic2Igor Milovanovic3Yenikent Kardelen Konutları, Selçuklu, Konya, TurkeyFaculty of Electronic Engineering, University of Niš, Niš, SerbiaFaculty of Electronic Engineering, University of Niš, Niš, SerbiaFaculty of Electronic Engineering, University of Niš, Niš, SerbiaLet $G$ 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.https://toc.ui.ac.ir/article_26789_9c9907d54350ec8e47c22a708eaa9627.pdfnormalized signless laplacian eigenvaluestopological indices (of graph)estrada index (of graph) |
| spellingShingle | Ş. Burcu Bozkurt Altındağ Emina Milovanovic Marjan Matejic Igor Milovanovic The normalized signless laplacian estrada index of graphs Transactions on Combinatorics normalized signless laplacian eigenvalues topological indices (of graph) estrada index (of graph) |
| title | The normalized signless laplacian estrada index of graphs |
| title_full | The normalized signless laplacian estrada index of graphs |
| title_fullStr | The normalized signless laplacian estrada index of graphs |
| title_full_unstemmed | The normalized signless laplacian estrada index of graphs |
| title_short | The normalized signless laplacian estrada index of graphs |
| title_sort | normalized signless laplacian estrada index of graphs |
| topic | normalized signless laplacian eigenvalues topological indices (of graph) estrada index (of graph) |
| url | https://toc.ui.ac.ir/article_26789_9c9907d54350ec8e47c22a708eaa9627.pdf |
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