Adjacency Matrices

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


In this chapter we study the adjacency matrix of a graph and an appropriate algebraic probability space in which it lives. Especially the vacuum state and their deformation on the adjacency algebra are treated. In Sect. 2.4 we introduce the quantum decomposition of the adjacency matrix, which will play a key role throughout this book.


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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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