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math.CO2023★ 2 cited
A relation between the cube polynomials of partial cubes and the clique polynomials of their crossing graphs
Yan-Ting Xie, Yong-De Feng, Shou-Jun Xu
Partial cubes are the graphs which can be embedded into hypercubes. The {\em cube polynomial} of a graph is a counting polynomial of induced hypercubes of , which is defined…
math.CO2023★ 1 cited
A characterization of regular partial cubes whose all convex cycles have the same lengths
Yan-Ting Xie, Yong-De Feng, Shou-Jun Xu
Partial cubes are graphs that can be isometrically embedded into hypercubes. Convex cycles play an important role in the study of partial cubes. In this paper, we prove that a regu…