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Complex Hadamard Matrices and Strongly R...

Chan, Ada...

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Complex Hadamard Matrices and Strongly Regular Graphs by Chan, Ada ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	11-08-2023
Summary	Over forty years ago, Goethals and Seidel showed that if the adjacency algebra of a strongly regular graph $X$ contains a Hadamard matrix then $X$ is either of Latin square type or of negative Latin square type. We extend their result to complex Hadamard matrices and find only three additional families of parameters for which the strongly regular graphs have complex Hadamard matrices in their adjacency algebras. Moreover we show that there are only three distance regular covers of the complete graph that give complex Hadamard matrices.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1102.5601

Citation

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AMA 11th EditionReferences

Chan, Ada. Complex Hadamard Matrices and Strongly Regular Graphs. Australian National University. August 11, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/15607

APA 7th EditionReferences

Chan, Ada. (2023). Complex Hadamard Matrices and Strongly Regular Graphs. Australian National University. https://online.provdatabase.com/cite/15607

Chicago 17th EditionReferences

Chan, Ada. Complex Hadamard Matrices and Strongly Regular Graphs. Australian National University. 2023. https://online.provdatabase.com/cite/15607

HarvardReferences

Chan, Ada. (2023). Complex Hadamard Matrices and Strongly Regular Graphs. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/15607. (Accessed 02 October 2025).

Harvard AustraliaReferences

Chan, Ada, 2023, Complex Hadamard Matrices and Strongly Regular Graphs, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/15607>

MLA 9th EditionWorks Cited

Chan, Ada. Complex Hadamard Matrices and Strongly Regular Graphs. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/15607.

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