C7
C_7
vertex count | 7 edge count | 7 connected component count | 1
apex | arc-transitive | biconnected | bridgeless | cactus | Cayley graphs | chordless | chromatically unique | circulant | class 2 | claw-free | conformally rigid | connected | cycle | cyclic | cyclotomic | determined by resistance | determined by spectrum | distance-regular | distance-transitive | dominating unique | edge-transitive | Eulerian | flexible | geodetic | graceful | Hamilton-decomposable | Hamiltonian | Harary | imperfect | KC | LCF | line graphs | linklessly embeddable | local | map | matchstick | multigraphic | nonempty | nongeometric | no perfect matching | outerplanar | planar | projective planar | pseudoforest | pseudotree | quadratically embeddable | regular | simple | square-free | stacked prism | switchable | symmetric | traceable | triangle-free | two-regular | unicyclic | uniquely embeddable | uniquely Hamiltonian | unit-distance | vertex-transitive | weakly regular | well covered | wreath
7-circulant graph (1, 2)
7-cycle graph
vertex degrees | 2 (7 vertices)
radius | 3 diameter | 3 girth | 7 vertex connectivity | 2 edge connectivity | 2
(x - 2) (x^3 + x^2 - 2 x - 1)^2
x^6 y + 7 x^6 + 21 x^5 + 35 x^4 + 35 x^3 + 21 x^2 + 7 x + 1
x^6 + x^5 + x^4 + x^3 + x^2 + x + y
chromatic number | 3 edge chromatic number | 3
(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 (root of -1 - 2 x + x^2 + x^3 near x = 1.24698)^2 2^1
(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 | 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 | 0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 0 | 1 | 1 0 | 1 | 0 | 0 | 0 | 0 | 1)
Hosoya index | 29 Kirchhoff index | 28 stability index | 2 Wiener index | 42