q-analogs of strongly regular graphs

We introduce the notion of q-analogs of strongly regular graphs and give several examples of such structures. We prove a necessary condition on the parameters, show the connection to designs over finite fields, and present a classification.

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Bibliographic Details
Published in:Linear algebra and its applications 2024-07, Vol.693, p.362-373
Main Authors: Braun, Michael, Crnković, Dean, De Boeck, Maarten, Mikulić Crnković, Vedrana, Švob, Andrea
Format: Article
Language:English
Subjects:
q-analog
Strongly regular graph
Subspace design
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Description
Summary:We introduce the notion of q-analogs of strongly regular graphs and give several examples of such structures. We prove a necessary condition on the parameters, show the connection to designs over finite fields, and present a classification.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2023.11.001