2 problems

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Klee's upper bound conjecture for Eulerian complexes
Klee's conjecture. The upper bound conjecture holds for all Eulerian complexes.
Conjectureopeneulerian-complexes face-numbers polyhedral-combinatoricsarXiv posted 2 days ago
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Flag upper bound conjecture for Eulerian complexes
Flag Eulerian upper bound conjecture. For every $1\leq i\leq 2m-1$ ,
Conjectureopeneulerian-complexes face-numbers flag-complexesarXiv posted 2 days ago

Klee's upper bound conjecture for Eulerian complexes