P_2×S_6
vertex count | 16 edge count | 22 connected component count | 1
apex | asymmetric | bicolorable | biconnected | bipartite | book | bridgeless | chromatically nonunique | class 1 | connected | cyclic | Eulerian | median | noncayley | nonempty | nonhamiltonian | perfect | perfect matching | planar | projective planar | simple | stacked book | triangle-free | ungraceful | uniquely colorable | unit-distance | untraceable | weakly perfect
(not a named graph)
(not a named graph)
vertex degrees | 2 (14 vertices) | 8 (2 vertices)
radius | 2 diameter | 3 girth | 4 vertex connectivity | 2 edge connectivity | 2
(x - 1)^6 (x + 1)^6 (x^2 - 2 x - 6) (x^2 + 2 x - 6)
x^15 y^7 + 22 x^15 y^6 + 210 x^15 y^5 + 1134 x^15 y^4 + 3780 x^15 y^3 + 7938 x^15 y^2 + 10206 x^15 y + 7290 x^15 + 21 x^14 y^6 + 399 x^14 y^5 + ... + 21 x^5 y^2 + 1092 x^5 y + 26208 x^5 + 126 x^4 y + 7308 x^4 + 7 x^3 y + 1540 x^3 + 231 x^2 + 22 x + 1 (65 terms)
x^15 + 7 x^14 + 28 x^13 + 7 x^12 y + 77 x^12 + 42 x^11 y + 161 x^11 + 21 x^10 y^2 + 126 x^10 y + 266 x^10 + 105 x^9 y^2 + 245 x^9 y + 357 x^9 + 35 x^8 y^3 + 245 x^8 y^2 + ... + 7 x^2 + 7 x y^6 + 7 x y^5 + 7 x y^4 + 7 x y^3 + 7 x y^2 + 7 x y + x + y^7 + y^6 + y^5 + y^4 + y^3 + y^2 + y (64 terms)
chromatic number | 2 edge chromatic number | 8
(-1 - sqrt(7))^1 (1 - sqrt(7))^1 (-1)^6 1^6 (-1 + sqrt(7))^1 (1 + sqrt(7))^1
Hosoya index | 2944 Kirchhoff index | 139.6 stability index | 3392 Wiener index | 260
