Q_9
vertex count | 512 edge count | 2304 connected component count | 1
antipodal | arc-transitive | bicolorable | biconnected | bipartite | bridgeless | Cayley graphs | class 1 | connected | cyclic | distance-regular | distance-transitive | edge-transitive | graceful | grid | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | Hamming | H-star connected | hypercube | integral | LCF | local | median | nonempty | noneulerian | nonplanar | perfect | perfect matching | regular | simple | symmetric | traceable | triangle-free | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | weakly regular | zero-two
vertex degrees | 9 (512 vertices)
radius | 9 diameter | 9 girth | 4 vertex connectivity | 9 edge connectivity | 9
(x - 9) (x - 7)^9 (x - 5)^36 (x - 3)^84 (x - 1)^126 (x + 1)^126 (x + 3)^84 (x + 5)^36 (x + 7)^9 (x + 9)
chromatic number | 2 edge chromatic number | 9
(-9)^1 (-7)^9 (-5)^36 (-3)^84 (-1)^126 1^126 3^84 5^36 7^9 9^1
Kirchhoff index | 33812 stability index | 1.184×10^190 Wiener index | 589824