Authors: Cvetković, Dragoš
Rowlinson, Peter
Simić, Slobodan 
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.
Publisher: Elsevier

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