Minimum supports of eigenfunctions of graphs: a survey
Ev Sotnikova, Alexandr Valyuzhenich
TL;DR
This survey reviews various results on the minimum support size of eigenfunctions in graphs, highlighting key theoretical findings and open problems in spectral graph theory.
Contribution
It compiles and discusses existing research on the minimal support of eigenfunctions, providing a comprehensive overview of the topic.
Findings
Summary of known bounds on support size
Identification of open problems in spectral support
Connections to graph structure and eigenvalues
Abstract
In this work we present a survey of results on the problem of finding the minimum cardinality of the support of eigenfunctions of graphs.
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