engleski

The signless Laplacian Estrada index of tricyclic graphs

The signless Laplacian Estrada index of a simple 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.

Signless Laplacian Estrada index ; adjacency matrix ; signless Laplacian matrix ; tricyclic graph

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