(3, 3)-lollipop graph | 6-graph 52 | 6-matchstick graph 11

vertex count | 6 edge count | 6 connected component count | 1

apex | asymmetric | bridged | cactus | chordal | chordless | chromatically nonunique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | geodetic | graceful | line graphs | lollipop | matchstick | noncayley | nonempty | noneulerian | nonhamiltonian | outerplanar | perfect | perfect matching | planar | projective planar | pseudoforest | pseudotree | simple | square-free | tadpole | traceable | unicyclic | unit-distance | weakly perfect

6-graph 109

7-matchstick graph 8

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

radius | 2 diameter | 4 girth | 3 vertex connectivity | 1 edge connectivity | 1

(x + 1)^2 (x^4 - 2 x^3 - 3 x^2 + 6 x - 1)

(x + 1)^3 (x^2 y + 3 x^2 + 3 x + 1)

x^3 (x^2 + x + y)

chromatic number | 3 edge chromatic number | 3

(root of -1 + 6 x - 3 x^2 - 2 x^3 + x^4 near x = -1.77462)^1 (-1)^2 (root of -1 + 6 x - 3 x^2 - 2 x^3 + x^4 near x = 0.185885)^1 (root of -1 + 6 x - 3 x^2 - 2 x^3 + x^4 near x = 1.36041)^1 (root of -1 + 6 x - 3 x^2 - 2 x^3 + x^4 near x = 2.22833)^1

(0 | 1 | 1 | 0 | 0 | 0 1 | 0 | 1 | 0 | 0 | 0 1 | 1 | 0 | 1 | 0 | 0 0 | 0 | 1 | 0 | 1 | 0 0 | 0 | 0 | 1 | 0 | 1 0 | 0 | 0 | 0 | 1 | 0)

(1 | 1 | 0 | 0 | 0 | 0 1 | 0 | 1 | 0 | 0 | 0 0 | 1 | 1 | 1 | 0 | 0 0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 1 | 1 0 | 0 | 0 | 0 | 0 | 1)

Hosoya index | 16 Kirchhoff index | 28 stability index | 16 Wiener index | 31