20 Edge-transitive Graph 20
vertex count | 20 edge count | 32 connected component count | 1
apex | asymmetric | bicolorable | biconnected | bipartite | bridgeless | chordless | class 1 | conformally rigid | connected | cyclic | edge-transitive | Eulerian | flexible | linklessly embeddable | map | Meyniel | noncayley | nonempty | nongeometric | nonhamiltonian | no perfect matching | perfect | planar | projective planar | simple | switchable | triangle-free | uniquely colorable | uniquely embeddable | untraceable | weakly perfect
(not a named graph)
(not a named graph)
vertex degrees | 2 (16 vertices) | 8 (4 vertices)
radius | 4 diameter | 4 girth | 4 vertex connectivity | 2 edge connectivity | 2
(x - 4) x^14 (x + 4) (x^2 - 8)^2
y^13 x^19 + 32 y^12 x^19 + 480 y^11 x^19 + 4480 y^10 x^19 + 29120 y^9 x^19 + 139776 y^8 x^19 + 512512 y^7 x^19 + 1464320 y^6 x^19 + 3293184 y^5 x^19 + ... + 200704 x^5 + 16 y^2 x^4 + 672 y x^4 + 35936 x^4 + 24 y x^3 + 4960 x^3 + 496 x^2 + 32 x + 1 (129 terms)
x^19 + 13 x^18 + 91 x^17 + 24 y x^16 + 431 x^16 + 16 y^2 x^15 + 256 y x^15 + 1524 x^15 + 4 y^3 x^14 + 164 y^2 x^14 + 1484 y x^14 + 4224 x^14 + 40 y^3 x^13 + ... + y^13 + 3 y^12 + 6 y^11 + 10 y^10 + 15 y^9 + 21 y^8 + 28 y^7 + 30 y^6 + 27 y^5 + 19 y^4 + 10 y^3 + 4 y^2 + y (128 terms)
chromatic number | 2 edge chromatic number | 8
(-4)^1 (-2 sqrt(2))^2 0^14 (2 sqrt(2))^2 4^1
Hosoya index | 5297 Kirchhoff index | 184.5 stability index | 1377 Wiener index | 448