K_(1, 1, 2, 2)

(1, 1, 2, 2)-complete 4-partite graph | (6, 4)-Turán graph | 6-graph 154

vertex count | 6 edge count | 13 connected component count | 1

apex | asymmetric | biconnected | biplanar | bridgeless | chromatically unique | class 1 | claw-free | complete k-partite | connected | critical nonplanar | cyclic | determined by resistance | determined by spectrum | graceful | Hamilton-connected | Hamiltonian | H-star connected | noncayley | nonempty | noneulerian | nonplanar | Ore | pancyclic | perfect | perfect matching | projective planar | queen | simple | singlecross | strongly perfect | toroidal | traceable | Turán | uniquely colorable | weakly perfect

two 2-paths and 2 singletons

(not a named graph)

vertex degrees | 4 (4 vertices) | 5 (2 vertices)

radius | 1 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4

x^2 (x + 1) (x + 2) (x^2 - 3 x - 6)

x^5 y^8 + 13 x^5 y^7 + 78 x^5 y^6 + 286 x^5 y^5 + 711 x^5 y^4 + 1249 x^5 y^3 + 1552 x^5 y^2 + 1292 x^5 y + 576 x^5 + 4 x^4 y^5 + 38 x^4 y^4 + 164 x^4 y^3 + 420 x^4 y^2 + 677 x^4 y + 572 x^4 + 4 x^3 y^3 + 34 x^3 y^2 + 143 x^3 y + 274 x^3 + 12 x^2 y + 78 x^2 + 13 x + 1

x^5 + 8 x^4 + 12 x^3 y + 24 x^3 + 4 x^2 y^3 + 22 x^2 y^2 + 51 x^2 y + 31 x^2 + 4 x y^5 + 18 x y^4 + 44 x y^3 + 72 x y^2 + 59 x y + 14 x + y^8 + 5 y^7 + 15 y^6 + 31 y^5 + 48 y^4 + 56 y^3 + 42 y^2 + 14 y

chromatic number | 4 edge chromatic number | 5

(-2)^1 (1/2 (3 - sqrt(33)))^1 (-1)^1 0^2 (1/2 (3 + sqrt(33)))^1

(0 | 1 | 1 | 1 | 1 | 0 1 | 0 | 1 | 1 | 0 | 1 1 | 1 | 0 | 1 | 1 | 1 1 | 1 | 1 | 0 | 1 | 1 1 | 0 | 1 | 1 | 0 | 1 0 | 1 | 1 | 1 | 1 | 0)

(1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1)

Hosoya index | 58 Kirchhoff index | 6 stability index | 26 Wiener index | 17