论文标题
加权图上有序场上的双cheger常数
Dual Cheeger constant for weighted graphs over ordered fields
论文作者
论文摘要
我们考虑一个双cheger常数$ \叠加h $，用于有限的图形，带有来自任意实际关闭的有序字段的边缘权重。在图中，我们获得了$ \叠加h $的估计。此外，我们估计了离散拉普拉斯操作员的最大特征值，以$ \叠加h $，并显示估计的清晰度。作为一个例子，我们考虑了Levi-Civita数字的非架构字段上的图形。
We consider a dual Cheeger constant $\overline h$ for finite graphs with edge weights from an arbitrary real-closed ordered field. We obtain estimates of $\overline h$ in terms of number of vertices in graph. Further, we estimate the largest eigenvalue for the discrete Laplace operator in terms of $\overline h$ and show the sharpness of estimates. As an example we consider graphs over non-Archimedean field of the Levi-Civita numbers.
