vertex count | 30 edge count | 75 connected component count | 1

asymmetric | biconnected | bridgeless | cage | class 1 | connected | cyclic | fully reconstructible in C^1 | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | LCF | local | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonplanar | not uniquely embeddable | perfect matching | quintic | regular | rigid | simple | square-free | switchable | 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 - 2)^8 (x + 1) (x + 3)^4 (x^4 + 2 x^3 - 6 x^2 - 7 x + 11)^2 (x^4 + 2 x^3 - 4 x^2 - 5 x + 5)^2

chromatic number | 4 edge chromatic number | 5

(-3)^4 (0.5 (-1 - 4.41272))^2 (0.5 (-1 - 3.93346))^2 (0.5 (-1 - 3.24467))^2 (0.5 (-1 - 2.55497))^2 (-1)^1 (0.5 (-1 + 2.55497))^2 (0.5 (-1 + 3.24467))^2 (0.5 (-1 + 3.93346))^2 (0.5 (-1 + 4.41272))^2 2^8 5^1

Hosoya index | 3.008 billion Kirchhoff index | 198 stability index | 22.65 billion Wiener index | 855