|Title:||A study of eigenspaces of graphs||Journal:||Linear Algebra and Its Applications||Volume:||182||Issue:||C||First page:||45||Last page:||66||Issue Date:||15-Mar-1993||ISSN:||0024-3795||DOI:||10.1016/0024-3795(93)90491-6||Abstract:||
We investigate the relationship between the structure of a graph and its eigenspaces. The angles between the eigenspaces and the vectors of the standard basis of Rn play an important role. The key notion is that of a special basis for an eigenspace called a star basis. Star bases enable us to define a canonical bases of Rn associated with a graph, and to formulate an algorithm for graph isomorphism.
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