(8, 2)-cone Graph
vertex count | 10 edge count | 24 connected component count | 1
apex | asymmetric | biconnected | bridgeless | chromatically unique | class 1 | cone | connected | cyclic | determined by resistance | determined by spectrum | dipyramid | dominating unique | Eulerian | fully reconstructible in C^1 | graceful | Hamilton-connected | Hamiltonian | H-star connected | linklessly embeddable | map | Meyniel | multigraphic | noncayley | nonempty | nongeometric | pancyclic | perfect | perfect matching | planar | polyhedral | projective planar | rigid | simple | switchable | traceable | triangulated | uniquely colorable | uniquely embeddable | weakly perfect
(not a named graph)
8-prism graph
(not a named graph)
vertex degrees | 4 (8 vertices) | 8 (2 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4
x^3 (x + 2) (x^2 - 2)^2 (x^2 - 2 x - 16)
x^9 y^15 + 24 x^9 y^14 + 276 x^9 y^13 + 2024 x^9 y^12 + 10618 x^9 y^11 + 42344 x^9 y^10 + 133068 x^9 y^9 + 336856 x^9 y^8 + 695769 x^9 y^7 + ... + 4280 x^4 y + 10246 x^4 + 24 x^3 y^2 + 380 x^3 y + 2008 x^3 + 16 x^2 y + 276 x^2 + 24 x + 1 (68 terms)
x^9 + 15 x^8 + 16 x^7 y + 104 x^7 + 24 x^6 y^2 + 220 x^6 y + 420 x^6 + 8 x^5 y^4 + 80 x^5 y^3 + 440 x^5 y^2 + 1184 x^5 y + 1064 x^5 + ... + 157 y^12 + 423 y^11 + 927 y^10 + 1711 y^9 + 2725 y^8 + 3816 y^7 + 4720 y^6 + 5056 y^5 + 4440 y^4 + 2914 y^3 + 1234 y^2 + 247 y (67 terms)
chromatic number | 3 edge chromatic number | 8
(1 - sqrt(17))^1 (-2)^1 (-sqrt(2))^2 0^3 sqrt(2)^2 (1 + sqrt(17))^1
Hosoya index | 951 Kirchhoff index | 20.35 stability index | 189 Wiener index | 66