2 problems

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The cluster-concentrated eigenvector basis conjecture for graph Paley–Wiener spaces
Cluster-concentrated basis conjecture. There are $\operatorname{dim}_K-1$ eigenvalues of $PQ$ larger than $1/2$ , including $\operatorname{dim}_K-(K+1)$ eigenvalues equal to one and…
Conjectureopengraph-signal-processing sampling-theory spectral-graph-theoryarXiv posted 2 days ago
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Optimality conjecture for the local-set-based piecewise-constant wavelet basis
Optimality conjecture. The local-set-based wavelet basis $\operatorname{W}_{\rm LSPC}$ minimizes, among all orthonormal bases $\operatorname{F}$ , the worst-case number of nonzero c…
Conjectureopengraph-signal-processing sparse-representation waveletsarXiv posted 2 days ago

The cluster-concentrated eigenvector basis conjecture for graph Paley–Wiener spaces