MathDBMarc's conjecture on vertex-transitive partial cubes of girth 6
Marc's conjecture on vertex-transitive partial cubes of girth 6
From papers
Let be a vertex-transitive partial cube with girth . Marc's conjecture. Doubled Odd graphs are the only vertex-transitive partial cubes with girth . This conjecture proposes that the known Doubled Odd graphs exhaust the vertex-transitive partial cubes of girth ; its resolution is not established in the supplied text.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Yan-Ting Xie, Yong-De Feng and Shou-Jun Xu, “A characterization of regular partial cubes whose all convex cycles have the same lengths”, arXiv:2301.12200 (2024).
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.