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Consider a connected molecular graph $G=(V,E)$ where $V$ is the set of vertices and $E$ is the set of edges. In $G$, vertices represent the atoms and edges represent the covalent bonds between atoms. In graph $G$, every edge (say) $e=uv$ will be connected by two atoms $u$ and $v$. The edge Szeged index is a topological index which has been introduced by Ivan Gutman. In this paper, we have computed edge Szeged indices of a hydrocarbon family called Benzene ring and is denoted by $(BR)_{n\times n}$.
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참고문헌 (14)
참고문헌 신청
K. Ch. Dasa / 2011 / Survey on Geometric-Arithmetic Indices of Graphs / MATCH Commun. Math. Comput. Chem 65:595~644
A. Das / 1997 / A Comparative Study of the Wiener, Schultz and Szeged Indices of Cycloalkanes / J. Serb. Chem. Soc 62:235~239
H. Deng / 2007 / PI indices of nanotubes SC4C8[q; 2p] covering by C4 and C8, MATCH Commun / Math. Comput. Chem 57:503~516
A. A. Dobrynin / 2002 / Wiener index of hexag-onal systems / Acta Appl. Math 72:247~294
T. Doslic / 2018 / Mostar index / J. Math. Chem 56:2995~3013
A. Das / 1997 / A Comparative Study of the Wiener, Schultz and Szeged Indices of Cycloalkanes / J. Serb. Chem. Soc 62:235~239
H. Deng / 2007 / PI indices of nanotubes SC4C8[q; 2p] covering by C4 and C8, MATCH Commun / Math. Comput. Chem 57:503~516
A. A. Dobrynin / 2002 / Wiener index of hexag-onal systems / Acta Appl. Math 72:247~294
T. Doslic / 2018 / Mostar index / J. Math. Chem 56:2995~3013
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