10-graph 4962090
vertex count | 10 edge count | 12 connected component count | 1
almost Hamiltonian | apex | asymmetric | biconnected | bridgeless | chromatically unique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | dominating unique | flexible | graceful | imperfect | Jahangir | linklessly embeddable | map | matchstick | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | perfect matching | planar | projective planar | quadratically embeddable | simple | square-free | switchable | traceable | triangle-free | uniquely embeddable | unit-distance
(not a named graph)
(not a named graph)
vertex degrees | 2 (6 vertices) | 3 (4 vertices)
radius | 2 diameter | 4 girth | 5 vertex connectivity | 2 edge connectivity | 2
(x + 1) (x^3 - 3 x + 1)^2 (x^3 - x^2 - 5 x + 3)
x^9 y^3 + 12 x^9 y^2 + 57 x^9 y + 108 x^9 + 9 x^8 y^2 + 109 x^8 y + 387 x^8 + 3 x^7 y^2 + 108 x^7 y + 729 x^7 + 63 x^6 y + 903 x^6 + 21 x^5 y + 789 x^5 + 3 x^4 y + 495 x^4 + 220 x^3 + 66 x^2 + 12 x + 1
x^9 + 3 x^8 + 6 x^7 + 10 x^6 + 3 x^5 y + 12 x^5 + 6 x^4 y + 12 x^4 + 9 x^3 y + 10 x^3 + 3 x^2 y^2 + 9 x^2 y + 6 x^2 + 3 x y^2 + 7 x y + 2 x + y^3 + 3 y^2 + 2 y
chromatic number | 3 edge chromatic number | 3
(root of 3 - 5 x - x^2 + x^3 near x = -2.08613)^1 (root of 1 - 3 x + x^3 near x = -1.87939)^2 (-1)^1 (root of 1 - 3 x + x^3 near x = 0.347296)^2 (root of 3 - 5 x - x^2 + x^3 near x = 0.571993)^1 (root of 1 - 3 x + x^3 near x = 1.53209)^2 (root of 3 - 5 x - x^2 + x^3 near x = 2.51414)^1
Hosoya index | 178 Kirchhoff index | 53.67 stability index | 172 Wiener index | 96