(7, 2)-cone Graph
vertex count | 9 edge count | 21 connected component count | 1
apex | asymmetric | biconnected | bridgeless | chromatically unique | class 1 | cone | connected | cyclic | determined by resistance | determined by spectrum | dipyramid | dominating unique | fully reconstructible in C^1 | graceful | Hamilton-connected | Hamiltonian | H-star connected | imperfect | linklessly embeddable | map | multigraphic | noncayley | nonempty | noneulerian | nongeometric | no perfect matching | pancyclic | planar | polyhedral | projective planar | rigid | simple | switchable | traceable | triangulated | uniquely embeddable
(not a named graph)
7-prism graph
(not a named graph)
vertex degrees | 4 (7 vertices) | 7 (2 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4
x (x^2 - 2 x - 14) (x^3 + x^2 - 2 x - 1)^2
x^8 y^13 + 21 x^8 y^12 + 210 x^8 y^11 + 1330 x^8 y^10 + 5978 x^8 y^9 + 20230 x^8 y^8 + 53305 x^8 y^7 + 111427 x^8 y^6 + 186270 x^8 y^5 + 248598 x^8 y^4 + ... + 644 x^4 y^2 + 2758 x^4 y + 5698 x^4 + 21 x^3 y^2 + 287 x^3 y + 1316 x^3 + 14 x^2 y + 210 x^2 + 21 x + 1 (53 terms)
x^8 + 13 x^7 + 14 x^6 y + 77 x^6 + 21 x^5 y^2 + 161 x^5 y + 259 x^5 + 7 x^4 y^4 + 63 x^4 y^3 + 308 x^4 y^2 + 700 x^4 y + 525 x^4 + 7 x^3 y^6 + ... + y^13 + 8 y^12 + 36 y^11 + 113 y^10 + 274 y^9 + 540 y^8 + 895 y^7 + 1274 y^6 + 1547 y^5 + 1533 y^4 + 1134 y^3 + 539 y^2 + 120 y (52 terms)
chromatic number | 4 edge chromatic number | 7
(1 - sqrt(15))^1 (root of -1 - 2 x + x^2 + x^3 near x = -1.80194)^2 (root of -1 - 2 x + x^2 + x^3 near x = -0.445042)^2 0^1 (root of -1 - 2 x + x^2 + x^3 near x = 1.24698)^2 (1 + sqrt(15))^1
(0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0)
Hosoya index | 477 Kirchhoff index | 15.98 stability index | 170 Wiener index | 51