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arXiv 1502.07093math.CO
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关于Jaco图的Gutman指标的一个注记

A Note on the Gutman Index of Jaco Graphs

Johan Kok, Susanth C, Sunny Joseph Kalayathankal

摘要:

对连通无向图$G$引入了\emph{Gutman index}的概念,记作$Gut(G)$.本文将这一概念应用于Jaco图族的基础图(\emph{directed graphs by definition}),并给出了\emph{Gutman index} $Gut(J^*_{n+1}(x)).$的一个递归公式。我们还确定了Jaco图之间平凡\emph{edge-joint}的\emph{Gutman index}。

英文摘要:

The concept of the \emph{Gutman index}, denoted $Gut(G)$ was introduced for a connected undirected graph $G$. In this note we apply the concept to the underlying graphs of the family of Jaco graphs, (\emph{directed graphs by definition}), and describe a recursive formula for the \emph{Gutman index} $Gut(J^*_{n+1}(x)).$ We also determine the \emph{Gutman index} for the trivial \emph{edge-joint} between Jaco graphs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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