vertex count | 30 edge count | 75 connected component count | 1
asymmetric | biconnected | bridgeless | cage | class 1 | connected | cyclic | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | LCF | local | noncayley | nonempty | noneulerian | nonplanar | perfect matching | quintic | regular | simple | square-free | traceable | triangle-free | weakly regular
(not a named graph)
(not a named graph)
vertex degrees | 5 (30 vertices)
radius | 3 diameter | 3 girth | 5 vertex connectivity | 5 edge connectivity | 5
(x - 5) (x - 1)^5 (x + 1)^2 (x^2 - 5)^3 (x^2 + x - 5)^8
chromatic number | 4 edge chromatic number | 5
(1/2 (-1 - sqrt(21)))^8 (-sqrt(5))^3 (-1)^2 1^5 (1/2 (-1 + sqrt(21)))^8 sqrt(5)^3 5^1
Hosoya index | 3.006 billion Kirchhoff index | 198.1 stability index | 20.63 billion Wiener index | 855