论文标题
有限电网上归一化复合型laplacian的特征值
Eigenvalues of the normalized complex Laplacian on finite electrical networks
论文作者
论文摘要
分析了用于电网络的归一化复合物的laplacian的光谱。我们表明，与真正的拉普拉斯人相比，特征值位于更大的地区。我们显示了具有负实际部分和绝对值的特征值大于2的存在。提供了模量中第一个非变化特征值的估计值。我们用示例补充估计值，显示出清晰度。
The spectrum of the normalized complex Laplacian for electrical networks is analyzed. We show that eigenvalues lie in a larger region compared to the case of the real Laplacian. We show the existence of eigenvalues with negative real part and absolute value greater than 2. An estimate from below for the first non-vanishing eigenvalue in modulus is provided. We supplement the estimates with examples, showing sharpness.
