vertex count | 11 edge count | 19 connected component count | 1

almost Hamiltonian | apex | asymmetric | biconnected | biplanar | braced polygon | bridgeless | class 1 | connected | cyclic | graceful | imperfect | Laman | noncayley | nonempty | noneulerian | nonhamiltonian | nonplanar | no perfect matching | projective planar | simple | singlecross | toroidal | traceable | unit-distance

(not a named graph)

(not a named graph)

vertex degrees | 2 (1 vertex) | 3 (6 vertices) | 4 (2 vertices) | 5 (2 vertices)

radius | 2 diameter | 3 girth | 3 vertex connectivity | 2 edge connectivity | 2

-(x - 1)^3 (x + 1)^2 (x^2 - 5) (x^4 + x^3 - 11 x^2 - 19 x - 4)

x^10 y^9 + 19 x^10 y^8 + 170 x^10 y^7 + 946 x^10 y^6 + 3637 x^10 y^5 + 10115 x^10 y^4 + 20576 x^10 y^3 + 29900 x^10 y^2 + 28560 x^10 y + 13824 x^10 + ... + 32 x^4 y^2 + 565 x^4 y + 3807 x^4 + 2 x^3 y^2 + 69 x^3 y + 965 x^3 + 4 x^2 y + 171 x^2 + 19 x + 1 (51 terms)

x^10 + 9 x^9 + 4 x^8 y + 41 x^8 + 2 x^7 y^2 + 33 x^7 y + 126 x^7 + 18 x^6 y^2 + 158 x^6 y + 278 x^6 + 12 x^5 y^3 + 119 x^5 y^2 + 482 x^5 y + 437 x^5 + ... + 795 x y^3 + 608 x y^2 + 224 x y + 24 x + y^9 + 9 y^8 + 39 y^7 + 107 y^6 + 202 y^5 + 264 y^4 + 226 y^3 + 112 y^2 + 24 y (50 terms)

chromatic number | 4 edge chromatic number | 5

(root of -4 - 19 x - 11 x^2 + x^3 + x^4 near x = -2.66332)^1 (-sqrt(5))^1 (root of -4 - 19 x - 11 x^2 + x^3 + x^4 near x = -1.69315)^1 (-1)^2 (root of -4 - 19 x - 11 x^2 + x^3 + x^4 near x = -0.246215)^1 1^3 sqrt(5)^1 (root of -4 - 19 x - 11 x^2 + x^3 + x^4 near x = 3.60269)^1

Hosoya index | 728 Kirchhoff index | 39.68 stability index | 288 Wiener index | 96