Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599651 | Linear Algebra and its Applications | 2014 | 11 Pages |
Abstract
We give equations that relate the spectral moments of a regular graph G to the numbers of certain subgraphs that occur within G. The equations are derived by using generating functions to count certain closed walks in G. The subgraphs that determine the i-th spectral moment are precisely the connected graphs of minimum degree 2 that are induced by at least one closed walk of length i.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marsha Minchenko, Ian M. Wanless,