(3, 3, 1)-kayak paddle graph | 6-graph 119 | 7-matchstick graph 30

vertex count | 6 edge count | 7 connected component count | 1

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

6-Hamilton-laceable graph 1

10-matchstick graph 273

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

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

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

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

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

chromatic number | 3 edge chromatic number | 3

(-sqrt(3))^1 (-1)^2 (1 - sqrt(2))^1 sqrt(3)^1 (1 + sqrt(2))^1

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

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

Hosoya index | 20 Kirchhoff index | 21 stability index | 22 Wiener index | 27