A recursive construction of acyclic matchings on independence complexes for graphs with simplicial vertices yields homotopy types for chordal graphs and generalized comparability graphs via discrete Morse theory.
Morse theory for filtrations and efficient compu- tation of persistent homology.Discrete & Computational Geometry, 50(2):330–353
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A recursive construction of an acyclic matching on the independence complex of a graph with a simplicial vertex
A recursive construction of acyclic matchings on independence complexes for graphs with simplicial vertices yields homotopy types for chordal graphs and generalized comparability graphs via discrete Morse theory.