C_5 union K_1

6-edge-transitive graph 9 | 6-graph 62 | 6-wheel complement graph

vertex count | 6 edge count | 5 connected component count | 2

apex | asymmetric | bridgeless | chordless | chromatically unique | class 2 | claw-free | cyclic | determined by resistance | determined by spectrum | disconnected | edge-transitive | Eulerian | imperfect | line graphs | matchstick | noncayley | nonempty | nonhamiltonian | no perfect matching | outerplanar | planar | projective planar | pseudoforest | simple | square-free | triangle-free | ungraceful | unicyclic | unit-distance | untraceable | well covered | wheel complement

6-wheel graph

5-cycle graph

vertex degrees | 0 (1 vertex) | 2 (5 vertices)

radius | ∞ diameter | ∞ girth | 5 vertex connectivity | 0 edge connectivity | 0

(x - 2) x (x^2 + x - 1)^2

x^4 y + 5 x^4 + 10 x^3 + 10 x^2 + 5 x + 1

x^4 + x^3 + x^2 + x + y

chromatic number | 3 edge chromatic number | 3

(1/2 (-1 - sqrt(5)))^2 0^1 (1/2 (-1 + sqrt(5)))^2 2^1

(0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 1 | 1 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 0 | 1 1 | 1 | 0 | 0 | 0 | 0 0 | 1 | 0 | 1 | 0 | 0)

(1 | 1 | 0 | 0 | 0 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 1 0 | 1 | 1 | 0 | 0 0 | 0 | 0 | 1 | 1)

Hosoya index | 11 Kirchhoff index | ∞ stability index | 11 Wiener index | ∞