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The polynomial characterization of tope graphs of the lopsided sets

Zheng, Xuan et al.
arXiv (All) · Papers
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combinatorics
The cube polynomial $C_G(x)$ generates the number of $k$-cubes on a graph $G$. As a subclass of partial cubes, the tope graphs of lopsided sets (LOPs) generalize daisy cubes and median graphs. In this paper, we prove that every tope graph of a LOP shares its cube polynomial with some daisy cube, the
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