Yetim, Mehmet Akif2022-12-272022-12-272022https://doi.org/10.31801/cfsuasmas.874855http://hdl.handle.net/20.500.12575/86492We prove that for any finite strongly orderable (generalized strongly chordal) graph G, the independence complex Ind(G) is either contractible or homotopy equivalent to a wedge of spheres of dimension at least bp(G)−1, where bp(G) is the biclique vertex partition number of G. In particular, we show that if G is a chordal bipartite graph, then Ind(G) is either contractible or homotopy equivalent to a sphere of dimension at least bp(G) − 1.enIndependence complex, strongly orderable, strongly chordal, chordal bipartite, convex bipartite, homotopy type, biclique vertex partitionArticle7124454551303-5991