vertex count | 19 edge count | 38 connected component count | 1
asymmetric | biconnected | bridgeless | cage | class 2 | connected | cyclic | Eulerian | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | LCF | local | noncayley | nonempty | nonplanar | no perfect matching | quartic | regular | simple | square-free | traceable | triangle-free | ungraceful | weakly regular
(not a named graph)
(not a named graph)
vertex degrees | 4 (19 vertices)
radius | 3 diameter | 3 girth | 5 vertex connectivity | 4 edge connectivity | 4
-((x - 4) (x - 1)^2 (x^2 - 3)^2 (x^2 + x - 5) (x^2 + x - 4)^2 (x^2 + x - 3)^2 (x^2 + x - 1))
x^18 y^20 + 38 x^18 y^19 + 703 x^18 y^18 + 8436 x^18 y^17 + 19 x^17 y^17 + 73796 x^18 y^16 + 646 x^17 y^16 + 501296 x^18 y^15 + 10697 x^17 y^15 + ... + 48554592 x^8 + 12588360 x^7 + 2758797 x^6 + 501888 x^5 + 73815 x^4 + 8436 x^3 + 703 x^2 + 38 x + 1 (142 terms)
y^20 + 18 y^19 + 171 y^18 + 19 x y^17 + 1121 y^17 + 323 x y^16 + 5643 y^16 + 38 x^2 y^15 + 2869 x y^15 + ... + 4067425 x^9 + 8704413 x^8 + 15702294 x^7 + 23425656 x^6 + 28091119 x^5 + 25936913 x^4 + 17211692 x^3 + 7246700 x^2 + 1437372 x (141 terms)
chromatic number | 3 edge chromatic number | 5
(1/2 (-1 - sqrt(21)))^1 (1/2 (-1 - sqrt(17)))^2 (1/2 (-1 - sqrt(13)))^2 (-sqrt(3))^2 (1/2 (-1 - sqrt(5)))^1 (1/2 (-1 + sqrt(5)))^1 1^2 (1/2 (-1 + sqrt(13)))^2 (1/2 (-1 + sqrt(17)))^2 sqrt(3)^2 (1/2 (-1 + sqrt(21)))^1 4^1
Hosoya index | 283846 Kirchhoff index | 97.94 stability index | 831104 Wiener index | 323
