(3, 4)-lollipop graph | 7-graph 373 | 7-matchstick graph 34

vertex count | 7 edge count | 7 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 | no perfect matching | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | simple | square-free | tadpole | traceable | unicyclic | unit-distance | weakly perfect

7-graph 896

8-matchstick graph 26

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

radius | 3 diameter | 5 girth | 3 vertex connectivity | 1 edge connectivity | 1

-((x + 1) (x^6 - x^5 - 6 x^4 + 4 x^3 + 9 x^2 - 3 x - 2))

(x + 1)^4 (x^2 y + 3 x^2 + 3 x + 1)

x^4 (x^2 + x + y)

chromatic number | 3 edge chromatic number | 3

(root of -2 - 3 x + 9 x^2 + 4 x^3 - 6 x^4 - x^5 + x^6 near x = -1.83328)^1 (root of -2 - 3 x + 9 x^2 + 4 x^3 - 6 x^4 - x^5 + x^6 near x = -1.2724)^1 (-1)^1 (root of -2 - 3 x + 9 x^2 + 4 x^3 - 6 x^4 - x^5 + x^6 near x = -0.364731)^1 (root of -2 - 3 x + 9 x^2 + 4 x^3 - 6 x^4 - x^5 + x^6 near x = 0.67291)^1 (root of -2 - 3 x + 9 x^2 + 4 x^3 - 6 x^4 - x^5 + x^6 near x = 1.56429)^1 (root of -2 - 3 x + 9 x^2 + 4 x^3 - 6 x^4 - x^5 + x^6 near x = 2.23321)^1

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

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

Hosoya index | 26 Kirchhoff index | 47.33 stability index | 10 Wiener index | 51