12-bipyramidal Graph
vertex count | 14 edge count | 36 connected component count | 1
apex | asymmetric | biconnected | bridgeless | class 1 | cone | connected | cyclic | dipyramid | Eulerian | fully reconstructible in C^1 | graceful | Hamilton-connected | Hamiltonian | H-star connected | linklessly embeddable | map | Meyniel | 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)
12-prism graph
(not a named graph)
vertex degrees | 4 (12 vertices) | 12 (2 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4
(x - 6) (x - 1)^2 x^3 (x + 1)^2 (x + 2) (x + 4) (x^2 - 3)^2
x^13 y^23 + 36 x^13 y^22 + 630 x^13 y^21 + 7140 x^13 y^20 + 12 x^12 y^20 + 58893 x^13 y^19 + 384 x^12 y^19 + 376608 x^13 y^18 + 5964 x^12 y^18 + ... + 21249519 x^8 + 6878184 x^7 + 1767656 x^6 + 361248 x^5 + 58023 x^4 + 7116 x^3 + 630 x^2 + 36 x + 1 (148 terms)
y^23 + 13 y^22 + 91 y^21 + 12 x y^20 + 443 y^20 + 144 x y^19 + 1664 y^19 + 12 x^2 y^18 + 924 x y^18 + 5096 y^18 + 186 x^2 y^17 + ... + 1694 x^10 + 7700 x^9 + 24849 x^8 + 58344 x^7 + 100452 x^6 + 125928 x^5 + 112145 x^4 + 67364 x^3 + 24509 x^2 + 4083 x (147 terms)
chromatic number | 3 edge chromatic number | 12
(-4)^1 (-2)^1 (-sqrt(3))^2 (-1)^2 0^3 1^2 sqrt(3)^2 6^1
Hosoya index | 12706 Kirchhoff index | 43.66 stability index | 1856 Wiener index | 146