论文标题

Coronae Graphs及其$α$ -EIGENVALUES

Coronae graphs and their $α$-eigenvalues

论文作者

Tahir, Muhammad Ateeq, Zhang, Xiao-Dong

论文摘要

令$ g_1 $和$ g_2 $为两个简单的连接图。使用图形的不变\ textit {coronal}为了确定四种不同类型的图形方程的$α$ -EIGENVALUES $ g_1 \ circ g_2,g_1 \ lozenge g_1 $,其他两个是$ g_1 \ odot g_1 \ odot g_1 \ odot g_2 $ and $ g_1 $ g_2 $ rrrah $ g_1 $。作为应用程序,我们构建了无限的许多非同构$α$ sectectral图。

Let $G_1$ and $G_2$ be two simple connected graphs. The invariant \textit{coronal} of graph is used in order to determine the $α$-eigenvalues of four different types of graph equations that are $G_1 \circ G_2, G_1\lozenge G_1$ and the other two`s are $G_1 \odot G_2$ and $G_1 \circleddash G_2$ which are obtained using the $R$-graph of $G_1$. As an application we construct infinitely many pairs of non-isomorphic $α$-Isospectral graph.

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