(6, 5)-arrangement graph | 6-permutation star graph

vertex count | 720 edge count | 1800 connected component count | 1

arc-transitive | arrangement | bicolorable | biconnected | bipartite | bridgeless | class 1 | connected | cyclic | edge-transitive | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | integral | LCF | local | nonempty | noneulerian | nonplanar | perfect | perfect matching | permutation star | quintic | regular | simple | square-free | symmetric | traceable | triangle-free | uniquely colorable | vertex-transitive | weakly perfect | weakly regular

vertex degrees | 5 (720 vertices)

radius | 7 diameter | 7 girth | 6 vertex connectivity | 5 edge connectivity | 5

(x - 5) (x - 4)^20 (x - 3)^105 (x - 2)^120 (x - 1)^30 x^168 (x + 1)^30 (x + 2)^120 (x + 3)^105 (x + 4)^20 (x + 5)

chromatic number | 2 edge chromatic number | 5

(-5)^1 (-4)^20 (-3)^105 (-2)^120 (-1)^30 0^168 1^30 2^120 3^105 4^20 5^1

Kirchhoff index | 137657 stability index | 8.536×10^223 Wiener index | 1.24 million