c band cardinality

[[concept]]

c

-band cardinality

$c$ -band cardinality of a graphon $W$ are the number of graphon eigenvalues with magnitude greater than $c$

n_{c} (W) = | {λ_{i} : | λ_{i} | > c} |

Note that this quantity is finite since the graphon shift operator eigenvalues accumulate only at 0.

Review

Why is the $c$ -band cardinality (of a graphon shift operator) always finite?
-?-
graphon shift operator eigenvalues accumulate only at $0$

File	Last Modified
2025-04-07 lecture 18	2025-05-30
convergence bound for graph convolutions	2025-05-30

Created 2025-04-22 Last Modified 2025-05-30