The Two-Gate Law: A Complete Characterization of 8-Cycle-Free Cubic Bipartite Arc-Transitive Graphs of Girth Six

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1. 1The Resonance Barrier Conjecture for Cubic Vertex-Transitive Graphs2026
2. 22-Power Unicyclic Cubic Graphs Revisited: A Correction and the Minimum Number of Power-of-Two Cycles2026
3. 3Hamiltonicity of Barnette graphs with six vertices uncovered by disjoint facial 4-cycles2026
4. 4Dyadic Saturation in Cubic Vertex-Transitive Graphs: A Complete PSV Census Theorem up to 1280 and a Mechanism Taxonomy2026
5. 5A 60-Vertex Lower Bound for Cubic Bipartite Counterexamples to the Erdős–Gyárfás Conjecture2026