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The retract characterization conjecture for hypercellular graphs
The retract characterization conjecture. A partial cube $G$ is hypercellular if and only if $G$ is a retract of a Cartesian product of bipartite cellular graphs.
Conjectureopengraph-products hypercellular-graphs partial-cubesarXiv posted 2 days ago
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The hypercellular complex characterization conjecture
The hypercellular complex characterization conjecture. For a graph $G$ , the following conditions are equivalent:
Conjectureopencat-0-geometry cell-complexes hypercellular-graphsarXiv posted 2 days ago

The retract characterization conjecture for hypercellular graphs