vertex count | 8 edge count | 25 connected component count | 1
asymmetric | biconnected | biplanar | bridgeless | chordal | chordless | chromatically unique | 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 | split | strongly perfect | traceable | ungraceful | weakly perfect
(not a named graph)
(not a named graph)
vertex degrees | 4 (1 vertex) | 6 (3 vertices) | 7 (4 vertices)
radius | 1 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4
(x + 1)^5 (x + 2) (x^2 - 7 x + 4)
x^7 y^18 + 25 x^7 y^17 + 300 x^7 y^16 + 2300 x^7 y^15 + 12649 x^7 y^14 + 53109 x^7 y^13 + 176887 x^7 y^12 + 479309 x^7 y^11 + 1075005 x^7 y^10 + 2019103 x^7 y^9 + ... + 11613 x^4 + 39 x^3 y^3 + 252 x^3 y^2 + 1037 x^3 y + 2259 x^3 + 41 x^2 y + 300 x^2 + 25 x + 1 (61 terms)
x^7 + 18 x^6 + 41 x^5 y + 130 x^5 + 39 x^4 y^3 + 135 x^4 y^2 + 445 x^4 y + 480 x^4 + 22 x^3 y^6 + 100 x^3 y^5 + 286 x^3 y^4 + 669 x^3 y^3 + ... + 1394 y^11 + 2180 y^10 + 3140 y^9 + 4181 y^8 + 5143 y^7 + 5804 y^6 + 5882 y^5 + 5109 y^4 + 3495 y^3 + 1614 y^2 + 360 y (60 terms)
chromatic number | 7 edge chromatic number | 7
(-2)^1 (-1)^5 (1/2 (7 - sqrt(33)))^1 (1/2 (7 + sqrt(33)))^1
(0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 1 | 0 | 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 | 1 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0)
Hosoya index | 536 Kirchhoff index | 8.286 stability index | 164 Wiener index | 31
