C_7

(2, 7)-Harary graph | (7, 1)-stacked prism graph | (7, 1)-wreath graph | 7-arc transitive graph 1 | 7-circulant graph (1) | 7-circulant graph (2) | 7-circulant graph (3) | 7-cyclotomic graph | 7-edge-transitive graph 25 | 7-graph 593 | ...

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 | connected | cycle | cyclic | cyclotomic | determined by resistance | determined by spectrum | distance-regular | distance-transitive | edge-transitive | Eulerian | geodetic | graceful | Hamilton-decomposable | Hamiltonian | Harary | imperfect | LCF | line graphs | local | matchstick | nonempty | no perfect matching | outerplanar | planar | projective planar | pseudoforest | pseudotree | regular | simple | square-free | stacked prism | symmetric | traceable | triangle-free | two-regular | unicyclic | 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 | 2 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