Let $\Delta$ be a simplicial complex and $F_1,...,F_n$ be the facets of $\Delta$. Let $\Delta_1$ be another simplicial complex and $F_1,...,F_{n-1}$ be the facets of $\Delta_1$. Assume $\Delta$ and $\Delta_1$ are pure simplicial complexes and $\Delta_1$ is strongly connected. Prove/disprove $\Delta$ is strongly connected.
2026-03-27 01:50:50.1774576250
prove/disprove $\Delta$ is strongly connected.
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