vertex count | 5 edge count | 7 connected component count | 1
almost Hamiltonian | apex | asymmetric | bridged | chordal | chromatically unique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | geodetic | graceful | line graphs | lollipop | maximally nonhamiltonian | noncayley | nonempty | noneulerian | nonhamiltonian | no perfect matching | perfect | planar | projective planar | simple | split | strongly perfect | traceable | weakly perfect
claw and singleton
heptahedral graph 34
vertex degrees | 1 (1 vertex) | 3 (3 vertices) | 4 (1 vertex)
radius | 1 diameter | 2 girth | 3 vertex connectivity | 1 edge connectivity | 1
-(x + 1)^2 (x^3 - 2 x^2 - 4 x + 2)
(x + 1) (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 (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 2 - 4 x - 2 x^2 + x^3 near x = -1.51414)^1 (-1)^2 (root of 2 - 4 x - 2 x^2 + x^3 near x = 0.428007)^1 (root of 2 - 4 x - 2 x^2 + x^3 near x = 3.08613)^1
(0 | 1 | 1 | 1 | 0 1 | 0 | 1 | 1 | 0 1 | 1 | 0 | 1 | 0 1 | 1 | 1 | 0 | 1 0 | 0 | 0 | 1 | 0)
(1 | 1 | 1 | 0 | 0 | 0 | 0 1 | 0 | 0 | 1 | 1 | 0 | 0 0 | 1 | 0 | 1 | 0 | 1 | 0 0 | 0 | 1 | 0 | 1 | 1 | 1 0 | 0 | 0 | 0 | 0 | 0 | 1)
Hosoya index | 14 Kirchhoff index | 8.5 stability index | 10 Wiener index | 13
