Short proofs are supplied for three results on (n,k,L)-systems in the Johnson scheme, the central one being a proof of the Aljohani-Bamberg-Cameron conjecture that complementary systems whose sizes multiply to binom(n,k) must be a t-intersecting family and a Steiner system S(t,k,n) when n exceeds so
On supersaturation in the Erd˝ os–S´ os problem.arXiv preprint arXiv:2602.10292, 2026
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Short proofs of three combinatorial results in the Johnson scheme
Short proofs are supplied for three results on (n,k,L)-systems in the Johnson scheme, the central one being a proof of the Aljohani-Bamberg-Cameron conjecture that complementary systems whose sizes multiply to binom(n,k) must be a t-intersecting family and a Steiner system S(t,k,n) when n exceeds so