vertex count | 7 edge count | 9 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 | no perfect matching | perfect | planar | projective planar | simple | traceable | weakly perfect
7-graph 339
(not a named graph)
vertex degrees | 1 (1 vertex) | 2 (2 vertices) | 3 (3 vertices) | 4 (1 vertex)
radius | 2 diameter | 4 girth | 3 vertex connectivity | 1 edge connectivity | 1
-(x + 1)^3 (x^4 - 3 x^3 - 3 x^2 + 9 x - 2)
(x + 1)^3 (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^3 (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 + 9 x - 3 x^2 - 3 x^3 + x^4 near x = -1.79774)^1 (-1)^3 (root of -2 + 9 x - 3 x^2 - 3 x^3 + x^4 near x = 0.247215)^1 (root of -2 + 9 x - 3 x^2 - 3 x^3 + x^4 near x = 1.45266)^1 (root of -2 + 9 x - 3 x^2 - 3 x^3 + x^4 near x = 3.09787)^1
(0 | 1 | 1 | 1 | 0 | 0 | 0 1 | 0 | 1 | 1 | 0 | 0 | 0 1 | 1 | 0 | 1 | 0 | 0 | 0 1 | 1 | 1 | 0 | 1 | 0 | 0 0 | 0 | 0 | 1 | 0 | 1 | 0 0 | 0 | 0 | 0 | 1 | 0 | 1 0 | 0 | 0 | 0 | 0 | 1 | 0)
(1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1)
Hosoya index | 38 Kirchhoff index | 35.5 stability index | 28 Wiener index | 43
