A358999 Number of undirected cycles of the Platonic graphs (in the order of tetrahedral, cubical, octahedral, dodecahedral, and icosahedral graph).
7, 28, 63, 1168, 12878
Offset: 1
Examples
graph \ n-cycle | 3 4 5 6 7 8 9 10 11 12 13 ...
-------------------+-------------------------------------------------
tetrahedral graph | 4 3
cubical graph | 0 6 0 16 0 6
octahedral graph | 8 15 24 16
dodecahedral graph | 0 0 12 0 0 30 20 36 120 100 60 ...
icosahedral graph | 20 30 72 240 720 1620 2680 3336 2880 1280
Links
- Seiichi Manyama, Python program (github)
- Eric Weisstein's World of Mathematics, Cycle Polynomial
- Eric Weisstein's World of Mathematics, Tetrahedral Graph
- Eric Weisstein's World of Mathematics, Cubical Graph
- Eric Weisstein's World of Mathematics, Octahedral Graph
- Eric Weisstein's World of Mathematics, Dodecahedral Graph
- Eric Weisstein's World of Mathematics, Icosahedral Graph