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

#flashcards/math/dsg

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

Mentions

File	Last Modified
2025-04-07 lecture 18	2025-11-06
convergence bound for graph convolutions	2025-10-02

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