Laplacian and vibrational spectra for homogeneous graphs
نویسندگان
چکیده
A homogeneous graph is a graph together with a group which acts transitively on vertices as symmetries of the graph. We consider Laplacians of homogeneous graphs and generalizations of Laplacians whose eigenvalues can be associated with various equilibria of forces in molecules (such as vibrational modes of buckyballs). Methods are given for calculating such eigenvalues by combining concepts and techniques in group representation theory, gauge theory and graph theory.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 16 شماره
صفحات -
تاریخ انتشار 1992