In this paper, we consider simple connected weighted graphs in which the edge weights are positive numbers. We obtain several upper bounds on the spectral radius and the signless Laplacian spectral radius of irregular weighted graphs, which extend some known results for irregular unweighted graphs.

中文翻译：

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不规则加权图的（无符号拉普拉斯算子）谱半径的上界

在本文中，我们考虑边缘权重为正数的简单连接加权图。我们获得了不规则加权图的谱半径和无符号拉普拉斯谱半径的几个上限，这扩展了不规则不加权图的一些已知结果。