On the largest independent sets in the Kneser graph on chambers of PG(4,q)

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https://doi.org/10.22029/jlupub-21030

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Let Γ4be the graph whose vertices are the chambers of the finite projective 4-space PG(4,q), with two vertices being adjacent if the corresponding chambers are in general position. For q≥749we show that (q2+q+1)(q3+2q2+q+1)(q+1)2is the independence number of Γ4and the geometric structure of the largest independent sets is described.

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Discrete mathematics 348 (2025), 114392

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