The signless Laplacian Estrada index of tricyclic graphs
Ramin Nasiri, Hamid Reza Ellahi, Gholam Hossein Fath-Tabar, Ahmad, Gholami, Tomislav Do\v{s}li\'c

TL;DR
This paper identifies the two tricyclic graphs with the highest signless Laplacian Estrada index, contributing to spectral graph theory by characterizing extremal structures for this index.
Contribution
It determines the exact extremal tricyclic graphs with maximal signless Laplacian Estrada index, a novel result in spectral graph theory.
Findings
Two tricyclic graphs have the maximal signless Laplacian Estrada index.
Characterization of extremal graphs for the SLEE among tricyclic graphs.
Advances understanding of spectral properties of complex graphs.
Abstract
The signless Laplacian Estrada index of a graph is defined as where are the eigenvalues of the signless Laplacian matrix of . In this paper, we show that there are exactly two tricyclic graphs with the maximal signless Laplacian Estrada index.
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Taxonomy
TopicsGraph theory and applications · Synthesis and Properties of Aromatic Compounds · Zeolite Catalysis and Synthesis
