# Balanced squeezed Complexes

@article{JuhnkeKubitzke2020BalancedSC, title={Balanced squeezed Complexes}, author={Martina Juhnke-Kubitzke and Uwe Nagel}, journal={arXiv: Combinatorics}, year={2020} }

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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