(1, 12, 5)-honeycomb toroidal graph | (1, 12, 7)-honeycomb toroidal graph | 12-cubic graph 83 | 12-vertex transitive graph 7 | (2, 6, 2)-honeycomb toroidal graph | (2, 6, 4)-honeycomb toroidal graph | (3, 12)-Knödel graph | (3, 4, 1)-honeycomb toroidal graph | (3, 4, 3)-honeycomb toroidal graph | 37-Haar graph | ...

vertex count | 12 edge count | 18 connected component count | 1

asymmetric | bicolorable | biconnected | bicubic | bipartite | biplanar | bridgeless | Cayley graphs | class 1 | connected | crossed prism | cubic | cyclic | doublecross | flexible | fully reconstructible in C^1 | Haar | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | honeycomb toroidal | H-star connected | intrinsically linked | Knödel | LCF | local | Meyniel | multigraphic | nonempty | noneulerian | nongeometric | nonplanar | not uniquely embeddable | perfect | perfect matching | projective planar | regular | simple | switchable | toroidal | traceable | triangle-free | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | weakly regular

12-vertex transitive graph 67

(not a named graph)

vertex degrees | 3 (12 vertices)

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

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

x^11 y^7 + 18 x^11 y^6 + 153 x^11 y^5 + 804 x^11 y^4 + 2859 x^11 y^3 + 7002 x^11 y^2 + 11188 x^11 y + 9216 x^11 + 12 x^10 y^5 + 201 x^10 y^4 + ... + 18271 x^6 + 293 x^5 y + 8526 x^5 + 42 x^4 y + 3057 x^4 + 3 x^3 y + 816 x^3 + 153 x^2 + 18 x + 1 (39 terms)

x^11 + 7 x^10 + 28 x^9 + 3 x^8 y + 81 x^8 + 18 x^7 y + 189 x^7 + 83 x^6 y + 358 x^6 + 15 x^5 y^2 + 258 x^5 y + 547 x^5 + 3 x^4 y^3 + ... + 12 x y^5 + 105 x y^4 + 370 x y^3 + 634 x y^2 + 466 x y + 85 x + y^7 + 11 y^6 + 54 y^5 + 151 y^4 + 252 y^3 + 230 y^2 + 85 y (38 terms)

chromatic number | 2 edge chromatic number | 3

(-3)^1 (-sqrt(3))^2 (-1)^3 1^3 sqrt(3)^2 3^1

Hosoya index | 1092 Kirchhoff index | 53 stability index | 1280 Wiener index | 132