Cubic polycirculant nut graphs exist for infinitely many orders precisely when the number of orbits is 3, 6, 7, or at least 9; they do not exist for 1, 2, 4, or 5, and the case of 8 remains open.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On cubic polycirculant nut graphs
Cubic polycirculant nut graphs exist for infinitely many orders precisely when the number of orbits is 3, 6, 7, or at least 9; they do not exist for 1, 2, 4, or 5, and the case of 8 remains open.