W_7

(1, 6)-Jahangir graph | 3-gear unit-distance graph | (6, 1)-cone graph | 6-polyiamond graph 11 | (7, 1)-polyhedral graph | (7, 4)-self dual graph | 7-graph 781 | 7-Halin graph 1 | 7-unit distance graph 1 | heptahedral graph 1 | ...

vertex count | 7 edge count | 12 connected component count | 1

apex | asymmetric | biconnected | bridgeless | chromatically unique | class 1 | cone | connected | cyclic | determined by resistance | dominating unique | fully reconstructible in C^1 | graceful | Halin | Hamilton-connected | Hamiltonian | H-star connected | Jahangir | linklessly embeddable | map | matchstick | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | no perfect matching | not determined by spectrum | pancyclic | perfect | planar | polyhedral | polyiamond | projective planar | quadratically embeddable | rigid | self-dual | simple | switchable | traceable | uniquely colorable | uniquely embeddable | unit-distance | weakly perfect | wheel

3-prism and singleton

7-wheel graph

(not a named graph)

vertex degrees | 3 (6 vertices) | 6 (1 vertex)

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

(x - 1)^2 (x + 1)^2 (x + 2) (x^2 - 2 x - 6)

x^6 y^6 + 12 x^6 y^5 + 66 x^6 y^4 + 214 x^6 y^3 + 435 x^6 y^2 + 534 x^6 y + 320 x^6 + 6 x^5 y^4 + 60 x^5 y^3 + 252 x^5 y^2 + 541 x^5 y + 534 x^5 + 6 x^4 y^3 + 63 x^4 y^2 + 252 x^4 y + 435 x^4 + 6 x^3 y^2 + 60 x^3 y + 214 x^3 + 6 x^2 y + 66 x^2 + 12 x + 1

x^6 + 6 x^5 + 6 x^4 y + 15 x^4 + 6 x^3 y^2 + 24 x^3 y + 20 x^3 + 6 x^2 y^3 + 27 x^2 y^2 + 36 x^2 y + 15 x^2 + 6 x y^4 + 24 x y^3 + 36 x y^2 + 25 x y + 5 x + y^6 + 6 y^5 + 15 y^4 + 20 y^3 + 15 y^2 + 5 y

chromatic number | 3 edge chromatic number | 6

(-2)^1 (1 - sqrt(7))^1 (-1)^2 1^2 (1 + sqrt(7))^1

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

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

Hosoya index | 66 Kirchhoff index | 12.9 stability index | 48 Wiener index | 30