8-graph 9213
vertex count | 8 edge count | 13 connected component count | 1
apex | asymmetric | biconnected | bridgeless | chromatically nonunique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | dominating unique | fully reconstructible in C^1 | graceful | Halin | Hamilton-connected | Hamiltonian | H-star connected | imperfect | Laman | linklessly embeddable | map | multigraphic | noncayley | nonempty | noneulerian | nongeometric | pancyclic | perfect matching | planar | polyhedral | projective planar | rigid | simple | switchable | traceable | uniquely embeddable | weakly perfect
8-graph 11242
heptahedral graph 4
(not a named graph)
vertex degrees | 3 (7 vertices) | 5 (1 vertex)
radius | 2 diameter | 3 girth | 3 vertex connectivity | 3 edge connectivity | 3
(x - 1) (x + 1) (x + 2) (x^5 - 2 x^4 - 8 x^3 + 8 x^2 + 11 x + 2)
x^7 y^6 + 13 x^7 y^5 + 78 x^7 y^4 + 278 x^7 y^3 + 625 x^7 y^2 + 851 x^7 y + 560 x^7 + 8 x^6 y^4 + 90 x^6 y^3 + 423 x^6 y^2 + 1014 x^6 y + 1084 x^6 + ... + 1069 x^5 + x^4 y^3 + 26 x^4 y^2 + 216 x^4 y + 671 x^4 + 2 x^3 y^2 + 44 x^3 y + 282 x^3 + 4 x^2 y + 78 x^2 + 13 x + 1 (27 terms)
x^7 + 6 x^6 + 4 x^5 y + 17 x^5 + 2 x^4 y^2 + 20 x^4 y + 30 x^4 + x^3 y^3 + 15 x^3 y^2 + 47 x^3 y + 35 x^3 + 10 x^2 y^3 + 45 x^2 y^2 + 62 x^2 y + 25 x^2 + 8 x y^4 + 35 x y^3 + 58 x y^2 + 41 x y + 8 x + y^6 + 7 y^5 + 20 y^4 + 30 y^3 + 24 y^2 + 8 y
chromatic number | 3 edge chromatic number | 5
(root of 2 + 11 x + 8 x^2 - 8 x^3 - 2 x^4 + x^5 near x = -2.24934)^1 (-2)^1 (-1)^1 (root of 2 + 11 x + 8 x^2 - 8 x^3 - 2 x^4 + x^5 near x = -0.657017)^1 (root of 2 + 11 x + 8 x^2 - 8 x^3 - 2 x^4 + x^5 near x = -0.227465)^1 1^1 (root of 2 + 11 x + 8 x^2 - 8 x^3 - 2 x^4 + x^5 near x = 1.76723)^1 (root of 2 + 11 x + 8 x^2 - 8 x^3 - 2 x^4 + x^5 near x = 3.36659)^1
(0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0)
(1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1)
Hosoya index | 114 Kirchhoff index | 19.31 stability index | 80 Wiener index | 45