On the minimum supports of some eigenfunctions in the Doob graphs

Evgeny Andreevich Bespalov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We prove that the minimum size of the support of an eigenfunction in the Doob graph D(m, n) corresponding to the second largest eigenvalue is 6 · 42m+n-2, and obtain characterisation of all eigenfunctions with minimum support. Similar results, with the minimum support size 22m+n, are obtained for the minimum eigenvalue of D(m, n).

Original languageEnglish
Pages (from-to)258-266
Number of pages9
JournalSiberian Electronic Mathematical Reports
Volume15
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Doob graph
  • Eigenfunction
  • Minimum support

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