vertex count | 11 edge count | 18 connected component count | 1

almost Hamiltonian | apex | asymmetric | bicolorable | biconnected | bipartite | bridgeless | class 1 | connected | cyclic | graceful | noncayley | nonempty | noneulerian | nonhamiltonian | no perfect matching | perfect | planar | polyhedral | projective planar | simple | traceable | triangle-free | uniquely colorable | weakly perfect

(not a named graph)

9-quartic graph 5

(not a named graph)

vertex degrees | 3 (8 vertices) | 4 (3 vertices)

radius | 3 diameter | 4 girth | 4 vertex connectivity | 3 edge connectivity | 3

-x^3 (x^2 - 11) (x^2 - 3) (x^2 - 2)^2

x^10 y^8 + 18 x^10 y^7 + 153 x^10 y^6 + 808 x^10 y^5 + 2931 x^10 y^4 + 7590 x^10 y^3 + 13966 x^10 y^2 + 17064 x^10 y + 10800 x^10 + 8 x^9 y^6 + 129 x^9 y^5 + ... + 18 x^5 y^2 + 851 x^5 y + 8442 x^5 + 126 x^4 y + 3051 x^4 + 9 x^3 y + 816 x^3 + 153 x^2 + 18 x + 1 (41 terms)

x^10 + 8 x^9 + 36 x^8 + 9 x^7 y + 111 x^7 + 63 x^6 y + 258 x^6 + 18 x^5 y^2 + 248 x^5 y + 454 x^5 + 8 x^4 y^3 + 144 x^4 y^2 + 614 x^4 y + 594 x^4 + ... + 277 x y^4 + 642 x y^3 + 810 x y^2 + 465 x y + 73 x + y^8 + 10 y^7 + 47 y^6 + 137 y^5 + 267 y^4 + 336 y^3 + 241 y^2 + 73 y (40 terms)

chromatic number | 2 edge chromatic number | 4

(-sqrt(11))^1 (-sqrt(3))^1 (-sqrt(2))^2 0^3 sqrt(2)^2 sqrt(3)^1 sqrt(11)^1

Hosoya index | 752 Kirchhoff index | 38.73 stability index | 0 Wiener index | 106