  Chung-Grigor'yan-Yau's inequality describes upper bounds of eigenvalues of
Laplacian in terms of subsets ("input") and their volumes. In this paper we
will show that we can reduce "input" in Chung-Grigor'yan-Yau's inequality in
the setting of Alexandrov spaces satisfying CD$(0,\infty)$. We will also
discuss a related conjecture for some universal inequality among eigenvalues of
Laplacian.
