M_5

10-circulant graph (1, 5) | 10-circulant graph (3, 5) | 10-cubic graph 17 | 10-graph 1625186 | 10-vertex transitive graph 6 | (1, 10, 3)-honeycomb toroidal graph | (1, 10, 5)-honeycomb toroidal graph | (1, 10, 7)-honeycomb toroidal graph | 19-Haar graph | 21-Haar graph | ...

vertex count | 10 edge count | 15 connected component count | 1

apex | asymmetric | bicolorable | biconnected | bicubic | bipartite | biplanar | bridgeless | Cayley graphs | chromatically unique | circulant | class 1 | connected | critical nonplanar | cubic | cyclic | determined by resistance | determined by spectrum | graceful | Haar | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | Harary | honeycomb toroidal | H-star connected | Knödel | LCF | local | Möbius ladder | nonempty | noneulerian | nonplanar | perfect | perfect matching | projective planar | regular | simple | singlecross | toroidal | traceable | triangle-free | uniquely colorable | vertex-transitive | weakly perfect | weakly regular

10-circulant graph (1, 2, 4)

(not a named graph)

vertex degrees | 3 (10 vertices)

radius | 3 diameter | 3 girth | 4 vertex connectivity | 3 edge connectivity | 3

(x - 3) (x + 3) (x^2 - x - 1)^2 (x^2 + x - 1)^2

x^9 y^6 + 15 x^9 y^5 + 105 x^9 y^4 + 445 x^9 y^3 + 1225 x^9 y^2 + 2113 x^9 y + 1815 x^9 + 10 x^8 y^4 + 140 x^8 y^3 + 875 x^8 y^2 + 2895 x^8 y + ... + 4715 x^6 + 5 x^5 y^2 + 290 x^5 y + 2948 x^5 + 55 x^4 y + 1360 x^4 + 5 x^3 y + 455 x^3 + 105 x^2 + 15 x + 1 (29 terms)

x^9 + 6 x^8 + 21 x^7 + 5 x^6 y + 51 x^6 + 25 x^5 y + 96 x^5 + 5 x^4 y^2 + 80 x^4 y + 137 x^4 + 35 x^3 y^2 + 165 x^3 y + 142 x^3 + 15 x^2 y^3 + 115 x^2 y^2 + 210 x^2 y + 92 x^2 + 10 x y^4 + 70 x y^3 + 160 x y^2 + 135 x y + 27 x + y^6 + 9 y^5 + 35 y^4 + 70 y^3 + 70 y^2 + 27 y

chromatic number | 2 edge chromatic number | 3

(-3)^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 3^1

Hosoya index | 344 Kirchhoff index | 34.39 stability index | 250 Wiener index | 85