K_(1, 1, 1, 1, 2, 2)
vertex count | 8 edge count | 26 connected component count | 1
asymmetric | biconnected | biplanar | bridgeless | chromatically unique | class 1 | claw-free | complete k-partite | connected | critical nonplanar | cyclic | determined by resistance | determined by spectrum | double-toroidal | Hamilton-connected | Hamiltonian | H-star connected | noncayley | nonempty | noneulerian | nonplanar | Ore | pancyclic | perfect | perfect matching | simple | strongly perfect | traceable | Turán | ungraceful | uniquely colorable | weakly perfect
two 2-paths and 4 singletons
(not a named graph)
vertex degrees | 6 (4 vertices) | 7 (4 vertices)
radius | 1 diameter | 2 girth | 3 vertex connectivity | 6 edge connectivity | 6
x^2 (x + 1)^3 (x + 2) (x^2 - 5 x - 10)
x^7 y^19 + 26 x^7 y^18 + 325 x^7 y^17 + 2600 x^7 y^16 + 14950 x^7 y^15 + 65780 x^7 y^14 + 230226 x^7 y^13 + 657716 x^7 y^12 + 1561439 x^7 y^11 + 3119306 x^7 y^10 + ... + 13786 x^4 + 41 x^3 y^3 + 274 x^3 y^2 + 1164 x^3 y + 2556 x^3 + 44 x^2 y + 325 x^2 + 26 x + 1 (61 terms)
x^7 + 19 x^6 + 44 x^5 y + 146 x^5 + 41 x^4 y^3 + 151 x^4 y^2 + 519 x^4 y + 575 x^4 + 20 x^3 y^6 + 112 x^3 y^5 + 332 x^3 y^4 + 800 x^3 y^3 + ... + 2555 y^11 + 3829 y^10 + 5326 y^9 + 6890 y^8 + 8274 y^7 + 9134 y^6 + 9052 y^5 + 7681 y^4 + 5127 y^3 + 2310 y^2 + 504 y (60 terms)
chromatic number | 6 edge chromatic number | 7
(-2)^1 (1/2 (5 - sqrt(65)))^1 (-1)^3 0^2 (1/2 (5 + sqrt(65)))^1
(0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0)
Hosoya index | 622 Kirchhoff index | 7.667 stability index | 170 Wiener index | 30
