2 problems

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Classification conjecture for suitable bicirculant LR structures
Bicirculant LR-structure conjecture. Every suitable ${\rm BC}_n(\{0,a\},\{b,c\})$ is isomorphic to at least one of the three families specified in the source, including the family
Conjectureopenbicirculant-graphs edge-colored-graphs tetravalent-graphsarXiv posted 2 days ago
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Stern's edge-transitive propellor graph conjecture
Stern's conjecture. Every edge-transitive propellor graph is isomorphic to one of the following:
Conjectureopenedge-transitive-graphs graph-classification tetravalent-graphsarXiv posted 2 days ago

Classification conjecture for suitable bicirculant LR structures