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Shellability is a topological and combinatorial tool, useful for computing homotopy and homeomorphism type of a simplicial complex, simultaneously with several related combinatorial/topological invariants.
A drawback is that shellings are relatively difficult to find. One obstruction is that the definition of a shelling builds up (or tears down) a complex in a facet by facet manner. The framework of k-decomposability simplifies by grouping facets together. I'll show how I used this framework to shell the independence complexes of chordal clutters, and discuss relationships with other problems.
Hybrid online/offline seminar: 02.06.011 (SFB room) + streaming.
TBA