(6, 2)-cone Graph
vertex count | 8 edge count | 18 connected component count | 1
apex | asymmetric | biconnected | bridgeless | chromatically nonunique | class 1 | cone | connected | cyclic | determined by resistance | determined by spectrum | dipyramid | dominating nonunique | Eulerian | fully reconstructible in C^1 | Hamilton-connected | Hamiltonian | H-star connected | linklessly embeddable | map | Meyniel | multigraphic | noncayley | nonempty | nongeometric | Ore | pancyclic | perfect | perfect matching | planar | polyhedral | projective planar | rigid | simple | switchable | traceable | triangulated | ungraceful | uniquely colorable | uniquely embeddable | weakly perfect
(not a named graph)
6-prism graph
(not a named graph)
vertex degrees | 4 (6 vertices) | 6 (2 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4
(x - 1)^2 x (x + 1)^2 (x + 2) (x^2 - 2 x - 12)
x^7 y^11 + 18 x^7 y^10 + 153 x^7 y^9 + 816 x^7 y^8 + 3054 x^7 y^7 + 8484 x^7 y^6 + 18010 x^7 y^5 + 29556 x^7 y^4 + 37329 x^7 y^3 + 35286 x^7 y^2 + 23049 x^7 y + ... + 452 x^4 y^2 + 1644 x^4 y + 2853 x^4 + 18 x^3 y^2 + 207 x^3 y + 804 x^3 + 12 x^2 y + 153 x^2 + 18 x + 1 (40 terms)
x^7 + 11 x^6 + 12 x^5 y + 54 x^5 + 18 x^4 y^2 + 111 x^4 y + 145 x^4 + 6 x^3 y^4 + 48 x^3 y^3 + 200 x^3 y^2 + 368 x^3 y + 220 x^3 + 6 x^2 y^6 + 39 x^2 y^5 + ... + 346 x y + 57 x + y^11 + 7 y^10 + 28 y^9 + 78 y^8 + 168 y^7 + 292 y^6 + 421 y^5 + 487 y^4 + 417 y^3 + 227 y^2 + 57 y (39 terms)
chromatic number | 3 edge chromatic number | 6
(1 - sqrt(13))^1 (-2)^1 (-1)^2 0^1 1^2 (1 + sqrt(13))^1
(0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0)
(1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1)
Hosoya index | 234 Kirchhoff index | 12.2 stability index | 68 Wiener index | 38