Equinumerous incidence-free pairs in symmetric designs always admit a perfect matching on the complement, equating chamber-Kneser chromatic numbers of projective planes with incidence-free numbers.
Journal of Combinatorial Theory, Series A , doi =
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A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets
Equinumerous incidence-free pairs in symmetric designs always admit a perfect matching on the complement, equating chamber-Kneser chromatic numbers of projective planes with incidence-free numbers.