Degree Project: Cospectral graphs

  • Date: –11:00
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å4004
  • Lecturer: Erik Sundström
  • Organiser: Matematiska institutionen
  • Contact person: Martin Herschend
  • Utbildning

Welcome to Erik Sundström´s presentation of his bachelor degree project with the title "Cospectral graphs".

Abstract: We study adjacency matrices and their eigenvalues to investigate what properties of the corresponding graphs can be determined by those eigenvalues, the spectrum of the graph. The question of which graphs are uniquely determined by their spectra is also covered. Later on we study some methods of finding examples of graphs with shared spectra, also referred to as cospectral graphs.