Three infinite families of Shilla graphs do not exist

DOI10.1134/S106456242103011XzbMath1477.05065OpenAlexW3198332341MaRDI QIDQ2243870

Yanyan Li

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456242103011x

zbMATH Keywords

distance-regular graphtriple intersection numbersShilla graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Cites Work

• Unnamed Item
• Shilla distance-regular graphs
• Using equality in the Krein conditions to prove nonexistence of certain distance-regular graphs
• Distance-regular Shilla graphs with \(b_2 = c_2\)
• Shilla distance-regular graphs with \(b_2 = sc_2\)
• To the theory of Shilla graphs with \(b_2=c_2\)
• A characterization of the graphs of bilinear \((d\times d)\)-forms over \(\mathbb{F}_2\)

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