Eigenvector and Eigenvalues of Some Special Graphs. IV. Multilevel Circulants

نویسندگان

  • SHYI-LONG LEE
  • YEUNG-LONG LUO
  • BRUCE E. SAGAN
  • YEONG-NAN YEH
چکیده

A multilevel circulant is defined as a graph whose adjacency matrix has a certain block decomposition into circulant matrices. A general algebraic method for finding the eigenvectors and the eigenvalues of multilevel circulants is given. Several classes of graphs, including regular polyhedra, suns, and cylinders can be analyzed using this scheme.

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تاریخ انتشار 2004