• Corpus ID: 220347398

Balanced squeezed Complexes

  title={Balanced squeezed Complexes},
  author={Martina Juhnke-Kubitzke and Uwe Nagel},
  journal={arXiv: Combinatorics},
Given any order ideal $U$ consisting of color-squarefree monomials involving variables with $d$ colors, we associate to it a balanced $(d-1)$-dimensional simplicial complex $\Delta_{\mathrm{bal}}(U)$ that we call a balanced squeezed complex. In fact, these complexes have properties similar to squeezed balls as introduced by Kalai and the more general squeezed complexes, introduced by the authors. We show that any balanced squeezed complex is vertex-decomposable and that its flag $h$-vector can… 


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Many triangulated spheres
  • G. Kalai
  • Mathematics
    Discret. Comput. Geom.
  • 1988
A construction of Billera and Lee is extended to obtain a large family of triangulated spheres and it is proved that logs(n) =20.69424n(1+o(1)).