Regular Graphs

  • Akihito Hora
  • Nobuaki Obata
Part of the Theoretical and Mathematical Physics book series (TMP)


We have observed in the previous chapters that a distance-regular graph possesses a significant property from the viewpoint of quantum decomposition, namely, Γ(G) is invariant under the actions of quantum components. For asymptotics of spectral distribution, however, the invariance is too much to require and asymptotic invariance is sufficient. This property will be formulated for a growing regular graph.


Adjacency Matrix Regular Graph Cayley Graph Coxeter Group Diagonal Operator 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Akihito Hora
    • 1
  • Nobuaki Obata
    • 2
  1. 1.Graduate School of MathematicsNagoya UniverstiyNagoyaJapan
  2. 2.Graduate School of Information SciencesTohoku UniversitySendaiJapan

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