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On distance-regular graphs in which neighborhoods of vertices are strongly regular

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Publication:393853
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DOI10.1134/S1064562413050116zbMath1284.05338MaRDI QIDQ393853

Alexander L. Gavrilyuk, Dmitriĭ Viktorovich Paduchikh, Aleksandr Alekseevich Makhnev

Publication date: 24 January 2014

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


zbMATH Keywords

distance-regular graphKrein graph


Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Distance in graphs (05C12)


Related Items (3)

On automorphism groups of \(\mathrm{AT}4(7, 9, r)\)-graphs and of their local subgraphs ⋮ A new feasibility condition for the AT4 family ⋮ The prime spectrum of an automorphism group of an 𝐴𝑇4(𝑝,𝑝+2,𝑟)-graph



Cites Work

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  • Covers of graphs and EGQs
  • Krein parameters and antipodal tight graphs with diameter 3 and 4
  • AT4 family and 2-homogeneous graphs
  • Distance-regular extensions of strongly regular graphs with eigenvalue 2
  • Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs




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