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5 - Covers and Embeddings

Published online by Cambridge University Press:  23 December 2022

Chris Godsil  and
Hanmeng Zhan
Chris Godsil
Affiliation:
University of Waterloo, Ontario
Hanmeng Zhan
Affiliation:
Simon Fraser University, British Columbia
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Summary

To specify a discrete quantum walk on a graph, we need more than just the graph. In general we need some kind of ordering on the edges on each vertex, and this extra structure is closely related to machinery used to describe embeddings of graph in surfaces. in this chapter we explain this connection.

Keywords

covers of graphsgraph embeddingsCayley mapsrotation systems
Type
Chapter
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Discrete Quantum Walks on Graphs and Digraphs , pp. 59 - 76
Publisher: Cambridge University Press
Print publication year: 2023

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  • Covers and Embeddings
  • Chris Godsil, University of Waterloo, Ontario, Hanmeng Zhan, Simon Fraser University, British Columbia
  • Book: Discrete Quantum Walks on Graphs and Digraphs
  • Online publication: 23 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781009261692.006
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  • Covers and Embeddings
  • Chris Godsil, University of Waterloo, Ontario, Hanmeng Zhan, Simon Fraser University, British Columbia
  • Book: Discrete Quantum Walks on Graphs and Digraphs
  • Online publication: 23 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781009261692.006
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Covers and Embeddings
  • Chris Godsil, University of Waterloo, Ontario, Hanmeng Zhan, Simon Fraser University, British Columbia
  • Book: Discrete Quantum Walks on Graphs and Digraphs
  • Online publication: 23 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781009261692.006
Available formats
×