(9, 2)-cone graph | 9-bipyramidal graph

vertex count | 11 edge count | 27 connected component count | 1

apex | asymmetric | biconnected | bridgeless | class 1 | cone | connected | cyclic | dipyramid | graceful | Hamilton-connected | Hamiltonian | H-star connected | imperfect | noncayley | nonempty | noneulerian | no perfect matching | pancyclic | planar | polyhedral | projective planar | simple | traceable | triangulated

(not a named graph)

9-prism graph

(not a named graph)

vertex degrees | 4 (9 vertices) | 9 (2 vertices)

radius | 2 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4

-x (x + 1)^2 (x^2 - 2 x - 18) (x^3 - 3 x + 1)^2

x^10 y^17 + 27 x^10 y^16 + 351 x^10 y^15 + 2925 x^10 y^14 + 17541 x^10 y^13 + 80523 x^10 y^12 + 293724 x^10 y^11 + 871920 x^10 y^10 + 2138868 x^10 y^9 + ... + 6273 x^4 y + 17064 x^4 + 27 x^3 y^2 + 486 x^3 y + 2907 x^3 + 18 x^2 y + 351 x^2 + 27 x + 1 (85 terms)

x^10 + 17 x^9 + 18 x^8 y + 135 x^8 + 27 x^7 y^2 + 288 x^7 y + 636 x^7 + 9 x^6 y^4 + 99 x^6 y^3 + 597 x^6 y^2 + 1848 x^6 y + ... + 3061 y^11 + 5365 y^10 + 8270 y^9 + 11391 y^8 + 14154 y^7 + 15786 y^6 + 15324 y^5 + 12174 y^4 + 7212 y^3 + 2760 y^2 + 502 y (84 terms)

chromatic number | 4 edge chromatic number | 9

(1 - sqrt(19))^1 (root of 1 - 3 x + x^3 near x = -1.87939)^2 (-1)^2 0^1 (root of 1 - 3 x + x^3 near x = 0.347296)^2 (root of 1 - 3 x + x^3 near x = 1.53209)^2 (1 + sqrt(19))^1

Hosoya index | 1858 Kirchhoff index | 25.3 stability index | 538 Wiener index | 83