Graphs, groups and polytopes

  • C. D. Godsil
Contributed Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 686)


With each eigenspace of the adjacency matrix A of a graph X there is an associated convex polytope. Any automorphism of X induces an orthogonal transformation of this polytope onto itself. These observations are used to obtain information on the relation between the automorphism group of X and the multiplicities of the eigenvalues of A. This approach yields new results on this topic as well as improvements of previously known ones.


Normal Subgroup Weight Vector Automorphism Group Adjacency Matrix Coxeter Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • C. D. Godsil
    • 1
  1. 1.Department of MathematicsUniversity of MelbourneParkvilleAustralia

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