Johnson Solid Skeleton 12
K_(1, 1, 1, 2)
vertex count | 5 edge count | 9 connected component count | 1
apex | asymmetric | Beineke | biconnected | bridgeless | chordal | chromatically unique | class 2 | claw-free | complete k-partite | cone | connected | cyclic | determined by resistance | determined by spectrum | dipyramid | distance-hereditary | dominating unique | fully reconstructible in C^1 | graceful | Hamilton-connected | Hamiltonian | H-star connected | Johnson skeleton | k-tree | linklessly embeddable | map | Metelsky | Meyniel | noncayley | nonempty | noneulerian | nongeometric | no perfect matching | Ore | pancyclic | perfect | planar | polyhedral | projective planar | Ptolemaic | quadratically embeddable | rigid | simple | split | strongly perfect | traceable | triangulated | Turán | unigraphic | uniquely colorable | uniquely embeddable | unswitchable | weakly perfect
2-path and three singletons
3-prism graph
(not a named graph)
vertex degrees | 3 (2 vertices) | 4 (3 vertices)
radius | 1 diameter | 2 girth | 3 vertex connectivity | 3 edge connectivity | 3
x (x + 1)^2 (x^2 - 2 x - 6)
x^4 y^5 + 9 x^4 y^4 + 36 x^4 y^3 + 82 x^4 y^2 + 111 x^4 y + 75 x^4 + 2 x^3 y^3 + 15 x^3 y^2 + 51 x^3 y + 77 x^3 + 7 x^2 y + 36 x^2 + 9 x + 1
x^4 + 5 x^3 + 7 x^2 y + 8 x^2 + 2 x y^3 + 9 x y^2 + 13 x y + 4 x + y^5 + 4 y^4 + 8 y^3 + 9 y^2 + 4 y
chromatic number | 4 edge chromatic number | 5
(1 - sqrt(7))^1 (-1)^2 0^1 (1 + sqrt(7))^1
(0 | 0 | 1 | 1 | 1 0 | 0 | 1 | 1 | 1 1 | 1 | 0 | 1 | 1 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 0)
(1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1)
Hosoya index | 22 Kirchhoff index | 4.667 stability index | 14 Wiener index | 11