2 problems

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Aljohani–Bamberg–Cameron conjecture on extremal cocliques in the Johnson scheme
Aljohani–Bamberg–Cameron conjecture. If $q>2$ , every coclique of size
Conjectureopenextremal-combinatorics johnson-scheme set-systemsarXiv posted 2 days ago
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The conjectured formula for the first minimum zero eigenvalue multiplicity
Conjectured identity. For $w\geq 5$ and $n\geq 2w+1$ ,
Conjectureopeneigenvalue-multiplicities extremal-combinatorics johnson-schemearXiv posted 2 days ago