7-graph 423 | 8-matchstick graph 189

vertex count | 7 edge count | 8 connected component count | 1

almost Hamiltonian | apex | asymmetric | biconnected | bridgeless | chordless | chromatically unique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | dominating unique | flexible | graceful | imperfect | linklessly embeddable | map | matchstick | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | planar | projective planar | quadratically embeddable | simple | square-free | switchable | traceable | triangle-free | uniquely embeddable | unit-distance

Johnson solid skeleton 49

(not a named graph)

vertex degrees | 2 (5 vertices) | 3 (2 vertices)

radius | 2 diameter | 3 girth | 5 vertex connectivity | 2 edge connectivity | 2

(x - 1)^2 (x + 1) (x + 2) (x^3 - x^2 - 4 x + 2)

x^6 y^2 + 8 x^6 y + 21 x^6 + 7 x^5 y + 54 x^5 + 2 x^4 y + 70 x^4 + 56 x^3 + 28 x^2 + 8 x + 1

x^6 + 2 x^5 + 3 x^4 + 4 x^3 + 2 x^2 y + 3 x^2 + 3 x y + x + y^2 + y

chromatic number | 3 edge chromatic number | 3

(-2)^1 (root of 2 - 4 x - x^2 + x^3 near x = -1.81361)^1 (-1)^1 (root of 2 - 4 x - x^2 + x^3 near x = 0.470683)^1 1^2 (root of 2 - 4 x - x^2 + x^3 near x = 2.34292)^1

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

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

Hosoya index | 34 Kirchhoff index | 21.33 stability index | 8 Wiener index | 36