Phased graphs and graph energies Academic Article uri icon

abstract

  • We define a phased graph G to yield an adjacency matrix A(G) having general magnitude-1 values in the same locations as the usual unphased case, but subject to the restriction that A be Hermitian. Some characteristics of such phased graphs and their eigenspectra are contemplated and to some extent described. Different graph energies are defined as suitable sums over adjacency-matrix eigenvalues, with "occupation-number" coefficients.{0, 1, 2}. 2011 Springer Science+Business Media, LLC.

published proceedings

  • JOURNAL OF MATHEMATICAL CHEMISTRY

author list (cited authors)

  • Klein, D. J., & Rosenfeld, V. R.

citation count

  • 6

complete list of authors

  • Klein, Douglas J||Rosenfeld, Vladimir R

publication date

  • August 2011