3 papers
math.CO2026
Resolving the Klavžar-Kovše conjecture on opposite semicube isomorphisms in partial cubes and its extension
Zhaoman Huang, Yan-Ting Xie, Shou-Jun Xu
Partial cubes are a fundamental class of graphs that admit isometric embeddings into hypercubes. Klavžar and KovÅ¡e [Ars Combin. 93 (2009), 77--86] observed that the opposite semi…
math.CO2026
Resolving problems on the polynomial identity characterization of daisy cubes
Xuan Zheng, Yan-Ting Xie, Shou-Jun Xu
Let be a set of binary strings of length . The daisy cube is the subgraph of the hypercube induced by the union of the intervals …
math.CO2025
Characterizing simplex graphs
Yan-Ting Xie, Shou-Jun Xu
The simplex graph of a graph is defined as the graph whose vertices are the cliques of (including the empty set), with two vertices being adjacent if, as cliques of…