vertex count | 18 edge count | 27 connected component count | 1
almost Hamiltonian | asymmetric | biconnected | biplanar | bridgeless | class 2 | connected | cubic | cyclic | doublecross | hypohamiltonian | imperfect | local | noncayley | nonempty | noneulerian | nonhamiltonian | nonplanar | perfect matching | regular | simple | snark | square-free | toroidal | traceable | triangle-free | unit-distance | weakly regular | weak snark
(not a named graph)
(not a named graph)
vertex degrees | 3 (18 vertices)
radius | 4 diameter | 4 girth | 5 vertex connectivity | 3 edge connectivity | 3
(x - 3) (x - 1)^3 (x^3 + 2 x^2 - 3 x - 5) (x^3 + 2 x^2 - x - 1) (x^4 + x^3 - 7 x^2 - 6 x + 7) (x^4 + x^3 - 5 x^2 - 4 x + 3)
x^17 y^10 + 27 x^17 y^9 + 351 x^17 y^8 + 2907 x^17 y^7 + 17089 x^17 y^6 + 75069 x^17 y^5 + 251821 x^17 y^4 + 643689 x^17 y^3 + 1214676 x^17 y^2 + 1551056 x^17 y + ... + 295783 x^6 + 227 x^5 y + 80720 x^5 + 10 x^4 y + 17550 x^4 + 2925 x^3 + 351 x^2 + 27 x + 1 (81 terms)
x^17 + 10 x^16 + 55 x^15 + 220 x^14 + 10 x^13 y + 705 x^13 + 97 x^12 y + 1895 x^12 + 10 x^11 y^2 + 497 x^11 y + 4391 x^11 + 2 x^10 y^3 + ... + 12792 x y + 1656 x + y^10 + 17 y^9 + 135 y^8 + 661 y^7 + 2200 y^6 + 5142 y^5 + 8380 y^4 + 9084 y^3 + 5844 y^2 + 1656 y (80 terms)
chromatic number | 3 edge chromatic number | 4
(-2.3772)^1 (-2.35438)^1 (-2.24698)^1 (-2.15976)^1 (-1.7633)^1 (-1.37933)^1 (-1.27389)^1 (-0.554958)^1 0.491918^1 0.696379^1 0.801938^1 1^3 1.65109^1 2.04717^1 2.4213^1 3^1
Hosoya index | 34880 Kirchhoff index | 144.3 stability index | 37052 Wiener index | 376
