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Classification of the family AT4(qs,q,q) of antipodal tight graphs
2011
Journal of combinatorial theory. Series A
Let Γ be an antipodal distance-regular graph with diameter 4 and eigenvalues θ 0 > θ 1 > θ 2 > θ 3 > θ 4 . Then its Krein parameter q 4 11 vanishes precisely when Γ is tight in the sense of Jurišić, Koolen and Terwilliger, and furthermore, precisely when Γ is locally strongly regular with nontrivial eigenvalues p := θ 2 and −q := θ 3 . When this is the case, the intersection parameters of Γ can be parameterized by p, q and the size of the antipodal classes r of Γ , hence we denote Γ by AT4(p,
doi:10.1016/j.jcta.2010.10.001
fatcat:mzh7g2onifa7lcxbgf24kp3co4