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On the eigenvalues of Grassmann graphs, Bilinear forms graphs and Hermitian forms graphs (2102.10155v1)
Published 19 Feb 2021 in math.CO and cs.DM
Abstract: Recently, Brouwer, Cioab\u{a}, Ihringer and McGinnis obtained some new results involving the eigenvalues of various graphs coming from association schemes and posed some conjectures related to the eigenvalues of Grassmann graphs, bilinear forms graphs and Hermitian forms graphs. In this paper, we prove some of their conjectures.