Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part 1 Biography
- Part II Graph Basics
- Part III Properties of the Shrikhande Graph
- Part IV The Shrikhande Graph in Context
- 6 Latin Squares
- 7 The Shrikhande Graph on the Torus
- 8 Root Systems
- 9 Graphs with Least Eigenvalue –2
- 10 Miscellanea
- 11 Further Reading
- References
- Index
7 - The Shrikhande Graph on the Torus
from Part IV - The Shrikhande Graph in Context
Published online by Cambridge University Press: 05 June 2026
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part 1 Biography
- Part II Graph Basics
- Part III Properties of the Shrikhande Graph
- Part IV The Shrikhande Graph in Context
- 6 Latin Squares
- 7 The Shrikhande Graph on the Torus
- 8 Root Systems
- 9 Graphs with Least Eigenvalue –2
- 10 Miscellanea
- 11 Further Reading
- References
- Index
Summary
Here is a very different picture of the Shrikhande graph from that we have seen before (Fig. 7.1).
The graph appears to have 25 vertices. But the purpose of the small single and double arrows is to tell us that the five vertices along the bottom of the parallelogram are to be identified with the five vertices along the top, while the five on the left are identified with the five on the right, keeping the same order in each case. (So for example the four vertices of the parallelogram become a single vertex after this identification.)
Before proceeding, we stop to identify the graph with the Shrikhande graph, using the description given in Section 2.6.
Information
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- Chapter
- Information
- The Shrikhande GraphA Window on Discrete Mathematics, pp. 98 - 106Publisher: Cambridge University PressPrint publication year: 2026
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