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\begin{document}

\title{On normalized Laplacian, degree-Kirchhoff index of the strong prism of
the dicyclobutadieno derivative of linear phenylenes}



\author[1]{Jia-bao Liu}%
\author[2]{Jiaojiao Gu}%
\affil[1]{Anhui Xinhua University}%
\affil[2]{Anhui Jianzhu University South Campus}%


\vspace{-1em}



  
  \date{May 25, 2024}


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\begin{abstract}
Phenylenes network is applied in several fields of chemistry sciences
due to its advantages compared to other several columnar networks,
recently. This paper aims to introduce a kind of networks which obtained
by a family of dicyclobutadieno derivative of linear phenylene chain Ln
which is made up of n hexagons and (n+1) quadrangles. Let L2n be the
strong prism of the dicyclobutadieno derivative of linear phenylenes Ln.
By taking full advantage of the knowleges about the normalized Laplacian
spectra, we induce the explicit expressions, with respect to the index
n, of the multiplicative degree-Kirchhoff index and the number of
spanning tree based on the graph L2n.%
\end{abstract}%



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