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16 April 2024
 
  » arxiv » 1412.2280

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The Signless Laplacian Estrada Index of Tricyclic Graphs
Ramin Nasiri ; Hamid Reza Ellahi ; Gholam Hossein Fath-Tabar ; Ahmad Gholami ;
Date 6 Dec 2014
AbstractThe 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.
Source arXiv, 1412.2280
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