The paper proves exact minimum coprime numbers for all generalized Petersen graphs GP(n,2), for stacked triangular and pentagonal prisms, and for a degree-two Petersen variant, while conjecturing the value for odd prisms.
Dean, Proof of the prime ladder conjecture , Integers 17 (2017), 1–9
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Minimum Coprime Labelings of Generalized Petersen and Prism Graphs
The paper proves exact minimum coprime numbers for all generalized Petersen graphs GP(n,2), for stacked triangular and pentagonal prisms, and for a degree-two Petersen variant, while conjecturing the value for odd prisms.