vertex count | 6 edge count | 8 connected component count | 1
apex | asymmetric | bridged | chordal | chromatically nonunique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | geodetic | graceful | line graphs | lollipop | noncayley | nonempty | noneulerian | nonhamiltonian | perfect | perfect matching | planar | projective planar | simple | traceable | weakly perfect | well covered
6-graph 32
(not a named graph)
vertex degrees | 1 (1 vertex) | 2 (1 vertex) | 3 (3 vertices) | 4 (1 vertex)
radius | 2 diameter | 3 girth | 3 vertex connectivity | 1 edge connectivity | 1
(x + 1)^2 (x^4 - 2 x^3 - 5 x^2 + 4 x + 3)
(x + 1)^2 (x^3 y^3 + 6 x^3 y^2 + 15 x^3 y + 16 x^3 + 4 x^2 y + 15 x^2 + 6 x + 1)
x^2 (x^3 + 3 x^2 + 4 x y + 2 x + y^3 + 3 y^2 + 2 y)
chromatic number | 4 edge chromatic number | 4
(root of 3 + 4 x - 5 x^2 - 2 x^3 + x^4 near x = -1.70447)^1 (-1)^2 (root of 3 + 4 x - 5 x^2 - 2 x^3 + x^4 near x = -0.508923)^1 (root of 3 + 4 x - 5 x^2 - 2 x^3 + x^4 near x = 1.11688)^1 (root of 3 + 4 x - 5 x^2 - 2 x^3 + x^4 near x = 3.09651)^1
(0 | 1 | 1 | 1 | 0 | 0 1 | 0 | 1 | 1 | 0 | 0 1 | 1 | 0 | 1 | 0 | 0 1 | 1 | 1 | 0 | 1 | 0 0 | 0 | 0 | 1 | 0 | 1 0 | 0 | 0 | 0 | 1 | 0)
(1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1)
Hosoya index | 24 Kirchhoff index | 19 stability index | 18 Wiener index | 25
