vertex count | 54 edge count | 81 connected component count | 1

asymmetric | bicolorable | biconnected | bicubic | bipartite | bridgeless | class 1 | connected | cubic | cyclic | edge-transitive | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | incidence | LCF | local | noncayley | nonempty | noneulerian | nonplanar | perfect | perfect matching | regular | semisymmetric | simple | square-free | traceable | triangle-free | uniquely colorable | unit-distance | weakly perfect | weakly regular

(not a named graph)

(not a named graph)

vertex degrees | 3 (54 vertices)

radius | 6 diameter | 6 girth | 8 vertex connectivity | 3 edge connectivity | 3

(x - 3) x^16 (x + 3) (x^2 - 6)^6 (x^2 - 3)^12

chromatic number | 2 edge chromatic number | 3

(-3)^1 (-sqrt(6))^6 (-sqrt(3))^12 0^16 sqrt(3)^12 sqrt(6)^6 3^1

Hosoya index | 43.61 trillion Kirchhoff index | 1593 stability index | 19.74 trillion Wiener index | 5481