The signless Laplacian Estrada index of tricyclic graphs

The signless Laplacian Estrada index of tricyclic graphs

Australasian Journal of Combinatorics Volume 69(1) (2017), Pages 259-270 The signless Laplacian Estrada index of a graph $G$ is defined as $SLEE(G)=\sum^{n}_{i=1}e^{q_i}$ where $q_1, q_2, \ldots, q_n$ are the eigenvalues of the signless Laplacian matrix of $G$. In this paper, we show that there are...

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Hauptverfasser: Nasiri, Ramin, Ellahi, Hamid Reza, Fath-Tabar, Gholam Hossein, Gholami, Ahmad, Došlić, Tomislav
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
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Zusammenfassung:Australasian Journal of Combinatorics Volume 69(1) (2017), Pages 259-270 The signless Laplacian Estrada index of a graph $G$ is defined as $SLEE(G)=\sum^{n}_{i=1}e^{q_i}$ where $q_1, q_2, \ldots, q_n$ are the eigenvalues of the signless Laplacian matrix of $G$. In this paper, we show that there are exactly two tricyclic graphs with the maximal signless Laplacian Estrada index.
DOI:10.48550/arxiv.1412.2280