clopen.solutions

Open problems

980 registered problems.

OP-00792 Solution claimed
A finite three-ample complex with nontrivial fundamental group
AT · AIM Open Applied Problems · ample simplicial complexes · fundamental group
OP-00807 Solution claimed
Zero in the upper-Laplacian spectrum of low-degree simplicial complexes
SP · AIM Open Applied Problems · branching random walks · simplicial complexes · upper Laplacian
OP-00811 Solution claimed
Topological complexity in the homogeneous medial regime for all sample sizes
AT · AIM Open Applied Problems · random simplicial complexes · topological complexity
OP-00826 Solution claimed
Coboundary expansion of random balanced Cayley complexes
CO · AIM Open Applied Problems · Cayley complexes · coboundary expansion · random simplicial complexes
OP-00864 Open
A strict gap between face and cycle percolation thresholds
PR · AIM Open Applied Problems · continuum percolation · random simplicial complexes
OP-00908 Open
Unbounded weak chromatic number for geometric tetrahedral complexes
CO · AIM Open Applied Problems · geometric hypergraphs · simplicial complexes · weak colorings