7-graph 374
vertex count | 7 edge count | 7 connected component count | 1
apex | asymmetric | bridged | cactus | chordless | chromatically nonunique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | flexible | geodetic | graceful | imperfect | linklessly embeddable | map | matchstick | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | outerplanar | planar | projective planar | pseudoforest | pseudotree | quadratically embeddable | simple | square-free | switchable | tadpole | traceable | triangle-free | unicyclic | uniquely embeddable | unit-distance | well covered
heptahedral graph 31
8-matchstick graph 82
vertex degrees | 1 (1 vertex) | 2 (5 vertices) | 3 (1 vertex)
radius | 2 diameter | 4 girth | 5 vertex connectivity | 1 edge connectivity | 1
(x^2 + x - 1) (x^5 - x^4 - 5 x^3 + 4 x^2 + 4 x - 2)
(x + 1)^2 (x^4 y + 5 x^4 + 10 x^3 + 10 x^2 + 5 x + 1)
x^2 (x^4 + x^3 + x^2 + x + y)
chromatic number | 3 edge chromatic number | 3
(root of -2 + 4 x + 4 x^2 - 5 x^3 - x^4 + x^5 near x = -1.94486)^1 (1/2 (-1 - sqrt(5)))^1 (root of -2 + 4 x + 4 x^2 - 5 x^3 - x^4 + x^5 near x = -0.895793)^1 (root of -2 + 4 x + 4 x^2 - 5 x^3 - x^4 + x^5 near x = 0.420632)^1 (1/2 (-1 + sqrt(5)))^1 (root of -2 + 4 x + 4 x^2 - 5 x^3 - x^4 + x^5 near x = 1.26848)^1 (root of -2 + 4 x + 4 x^2 - 5 x^3 - x^4 + x^5 near x = 2.15154)^1
(0 | 1 | 0 | 0 | 1 | 0 | 0 1 | 0 | 1 | 0 | 0 | 0 | 0 0 | 1 | 0 | 1 | 0 | 0 | 0 0 | 0 | 1 | 0 | 1 | 0 | 0 1 | 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 | 0 | 1 | 1 | 0 | 0 | 0 0 | 0 | 0 | 1 | 1 | 0 | 0 0 | 1 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 0 | 1 | 1 0 | 0 | 0 | 0 | 0 | 0 | 1)
Hosoya index | 27 Kirchhoff index | 34 stability index | 4 Wiener index | 43