Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
Hora, A., Obata, N. (2007). Adjacency Matrices. In: Quantum Probability and Spectral Analysis of Graphs. Theoretical and Mathematical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48863-4_2
Download citation
DOI: https://doi.org/10.1007/3-540-48863-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-48862-0
Online ISBN: 978-3-540-48863-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)