vertex count | 8 edge count | 24 connected component count | 1
asymmetric | biconnected | biplanar | bridgeless | chordal | chordless | chromatically nonunique | class 1 | claw-free | connected | 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 | ungraceful | uniquely colorable | weakly perfect
(not a named graph)
(not a named graph)
vertex degrees | 5 (4 vertices) | 7 (4 vertices)
radius | 1 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 5
(x - 1) (x + 1)^5 (x^2 - 4 x - 13)
x^7 y^17 + 24 x^7 y^16 + 276 x^7 y^15 + 2024 x^7 y^14 + 10626 x^7 y^13 + 42500 x^7 y^12 + 134520 x^7 y^11 + 345416 x^7 y^10 + 731525 x^7 y^9 + ... + 9759 x^4 + 29 x^3 y^3 + 198 x^3 y^2 + 867 x^3 y + 1988 x^3 + 36 x^2 y + 276 x^2 + 24 x + 1 (58 terms)
x^7 + 17 x^6 + 36 x^5 y + 117 x^5 + 29 x^4 y^3 + 111 x^4 y^2 + 378 x^4 y + 415 x^4 + 12 x^3 y^6 + 64 x^3 y^5 + 208 x^3 y^4 + 518 x^3 y^3 + ... + 808 y^11 + 1352 y^10 + 2057 y^9 + 2863 y^8 + 3648 y^7 + 4234 y^6 + 4388 y^5 + 3886 y^4 + 2708 y^3 + 1272 y^2 + 288 y (57 terms)
chromatic number | 6 edge chromatic number | 7
(2 - sqrt(17))^1 (-1)^5 1^1 (2 + sqrt(17))^1
(0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 0 | 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 | 480 Kirchhoff index | 8.667 stability index | 188 Wiener index | 32
