M_12
vertex count | 24 edge count | 36 connected component count | 1
apex | asymmetric | biconnected | biplanar | bridgeless | Cayley graphs | circulant | class 1 | connected | critical nonplanar | cubic | cyclic | graceful | Hamilton-connected | Hamilton-decomposable | Hamiltonian | Harary | H-star connected | imperfect | LCF | local | Möbius ladder | nonempty | noneulerian | nonplanar | perfect matching | projective planar | regular | simple | singlecross | toroidal | traceable | triangle-free | vertex-transitive | weakly regular
(not a named graph)
(not a named graph)
vertex degrees | 3 (24 vertices)
radius | 6 diameter | 6 girth | 4 vertex connectivity | 3 edge connectivity | 3
(x - 3) (x - 2)^2 (x - 1)^2 x^2 (x + 1) (x^2 - 2 x - 2)^2 (x^2 + 2 x - 1)^2 (x^4 + 4 x^3 + 2 x^2 - 4 x - 2)^2
y^13 x^23 + 36 y^12 x^23 + 630 y^11 x^23 + 7116 y^10 x^23 + 58023 y^9 x^23 + 361248 y^8 x^23 + 1767656 y^7 x^23 + 6878184 y^6 x^23 + 21249519 y^5 x^23 + ... + 5964 y x^5 + 376608 x^5 + 384 y x^4 + 58893 x^4 + 12 y x^3 + 7140 x^3 + 630 x^2 + 36 x + 1 (148 terms)
x^23 + 13 x^22 + 91 x^21 + 12 y x^20 + 443 x^20 + 144 y x^19 + 1664 x^19 + 12 y^2 x^18 + 924 y x^18 + 5096 x^18 + 186 y^2 x^17 + ... + 1694 y^10 + 7700 y^9 + 24849 y^8 + 58344 y^7 + 100452 y^6 + 125928 y^5 + 112145 y^4 + 67364 y^3 + 24510 y^2 + 4084 y (147 terms)
chromatic number | 3 edge chromatic number | 3
(-1 - sqrt(2 + sqrt(3)))^2 (-1 - sqrt(2))^2 (-1 - sqrt(2 - sqrt(3)))^2 (-1)^1 (1 - sqrt(3))^2 (-1 + sqrt(2 - sqrt(3)))^2 0^2 (-1 + sqrt(2))^2 (-1 + sqrt(2 + sqrt(3)))^2 1^2 2^2 (1 + sqrt(3))^2 3^1
Hosoya index | 1.216 million Kirchhoff index | 369.1 stability index | 339520 Wiener index | 996
