7-graph 736
H_(3, 7)
vertex count | 7 edge count | 11 connected component count | 1
apex | asymmetric | biconnected | biplanar | bridgeless | chromatically unique | class 1 | connected | critical nonplanar | cyclic | determined by resistance | determined by spectrum | dominating nonunique | fully reconstructible in C^1 | graceful | Hamiltonian | Harary | imperfect | Laman | linklessly embeddable | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonplanar | no perfect matching | not uniquely embeddable | pancyclic | projective planar | quasi-regular | rigid | simple | singlecross | switchable | toroidal | traceable | weakly perfect
10-matchstick graph 311
(not a named graph)
vertex degrees | 3 (6 vertices) | 4 (1 vertex)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 3 edge connectivity | 3
x (x^2 + x - 1) (x^4 - x^3 - 9 x^2 + 6 x + 2)
x^6 y^5 + 11 x^6 y^4 + 55 x^6 y^3 + 159 x^6 y^2 + 273 x^6 y + 231 x^6 + 6 x^5 y^3 + 57 x^5 y^2 + 224 x^5 y + 379 x^5 + 7 x^4 y^2 + 83 x^4 y + 315 x^4 + 15 x^3 y + 164 x^3 + x^2 y + 55 x^2 + 11 x + 1
x^6 + 5 x^5 + x^4 y + 14 x^4 + 11 x^3 y + 23 x^3 + 7 x^2 y^2 + 30 x^2 y + 21 x^2 + 6 x y^3 + 25 x y^2 + 31 x y + 8 x + y^5 + 6 y^4 + 15 y^3 + 18 y^2 + 8 y
chromatic number | 3 edge chromatic number | 4
(root of 2 + 6 x - 9 x^2 - x^3 + x^4 near x = -2.83436)^1 (1/2 (-1 - sqrt(5)))^1 (root of 2 + 6 x - 9 x^2 - x^3 + x^4 near x = -0.245794)^1 0^1 (1/2 (-1 + sqrt(5)))^1 (root of 2 + 6 x - 9 x^2 - x^3 + x^4 near x = 0.903809)^1 (root of 2 + 6 x - 9 x^2 - x^3 + x^4 near x = 3.17634)^1
(0 | 1 | 0 | 1 | 1 | 0 | 1 1 | 0 | 1 | 0 | 0 | 1 | 0 0 | 1 | 0 | 1 | 0 | 0 | 1 1 | 0 | 1 | 0 | 1 | 0 | 0 1 | 0 | 0 | 1 | 0 | 1 | 0 0 | 1 | 0 | 0 | 1 | 0 | 1 1 | 0 | 1 | 0 | 0 | 1 | 0)
(1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1)
Hosoya index | 63 Kirchhoff index | 13.07 stability index | 6 Wiener index | 31