20 edge-transitive graph 20 | 20-arc transitive graph 5 | 20-vertex transitive graph 122 | ditrigonal dodecadodecahedral graph | great ditrigonal icosidodecahedral graph | small ditrigonal icosidodecahedral graph

vertex count | 20 edge count | 60 connected component count | 1

antipodal | arc-transitive | biconnected | bridgeless | Cayley graphs | class 1 | conformally rigid | connected | cyclic | edge-transitive | Eulerian | fully reconstructible in C^1 | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | integral | LCF | local | multigraphic | nonempty | nongeometric | nonplanar | not uniquely embeddable | pancyclic | perfect matching | regular | rigid | sextic | simple | switchable | symmetric | traceable | uniform skeleton | vertex-transitive | weakly regular

(not a named graph)

(not a named graph)

vertex degrees | 6 (20 vertices)

radius | 3 diameter | 3 girth | 3 vertex connectivity | 6 edge connectivity | 6

(x - 6) (x - 2)^6 (x - 1)^4 (x + 2)^5 (x + 3)^4

x^19 y^41 + 60 x^19 y^40 + 1770 x^19 y^39 + 34220 x^19 y^38 + 487635 x^19 y^37 + 5461512 x^19 y^36 + 20 x^18 y^36 + 50063840 x^19 y^35 + ... + 376035060 x^7 + 49364410 x^6 + 5425848 x^5 + 486435 x^4 + 34200 x^3 + 1770 x^2 + 60 x + 1 (304 terms)

y^41 + 19 y^40 + 190 y^39 + 1330 y^38 + 7315 y^37 + 20 x y^36 + 33629 y^36 + 360 x y^35 + ... + 4717918221 x^8 + 10307872122 x^7 + 18176861241 x^6 + 25150866298 x^5 + 26175642206 x^4 + 19151108087 x^3 + 8712036894 x^2 + 1833950928 x (303 terms)

chromatic number | 4 edge chromatic number | 6

(-3)^4 (-2)^5 1^4 2^6 6^1

Hosoya index | 6.342 million Kirchhoff index | 67.39 stability index | 15.44 million Wiener index | 330