C_10
vertex count | 10 edge count | 10 connected component count | 1
antipodal | apex | arc-transitive | bicolorable | biconnected | bipartite | bridgeless | cactus | Cayley graphs | chordless | chromatically unique | circulant | class 1 | claw-free | connected | cycle | cyclic | determined by resistance | determined by spectrum | distance-regular | distance-transitive | edge-transitive | Eulerian | Haar | Hamilton-decomposable | Hamiltonian | Harary | honeycomb toroidal | Knödel | LCF | line graphs | local | matchstick | nonempty | outerplanar | perfect | perfect matching | planar | projective planar | pseudoforest | pseudotree | regular | simple | square-free | stacked prism | symmetric | traceable | triangle-free | two-regular | ungraceful | unicyclic | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | weakly regular | wreath
10-circulant graph (1, 2, 4, 5)
10-cycle graph
vertex degrees | 2 (10 vertices)
radius | 5 diameter | 5 girth | 10 vertex connectivity | 2 edge connectivity | 2
(x - 2) (x + 2) (x^2 - x - 1)^2 (x^2 + x - 1)^2
x^9 y + 10 x^9 + 45 x^8 + 120 x^7 + 210 x^6 + 252 x^5 + 210 x^4 + 120 x^3 + 45 x^2 + 10 x + 1
x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + y
chromatic number | 2 edge chromatic number | 2
(-2)^1 (1/2 (-1 - sqrt(5)))^2 (1/2 (1 - sqrt(5)))^2 (1/2 (-1 + sqrt(5)))^2 (1/2 (1 + sqrt(5)))^2 2^1
Hosoya index | 123 Kirchhoff index | 82.5 stability index | 125 Wiener index | 125