On stars and links of shellable polytopal complexes

@article{Courdurier2006OnSA,
  title={On stars and links of shellable polytopal complexes},
  author={Matias Courdurier},
  journal={J. Comb. Theory, Ser. A},
  year={2006},
  volume={113},
  pages={692-697}
}
The vertex stars of shellable polytopal complexes are shown to be shellable. The link of a vertex v of a shellable polytopal complex is also shown to be shellable, provided that all facets of the star of v are simple polytopes, or (more generally) if there exists a shelling F1, . . . , Fn of the star of v such that, for every 1 < j n, the intersection of Fj with the previous facets is an initial segment of a line shelling of the boundary complex of Fj . © 2005 Elsevier Inc. All rights reserved. 

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