P_2×S_7
vertex count | 18 edge count | 25 connected component count | 1
apex | asymmetric | bicolorable | biconnected | bipartite | book | bridgeless | chromatically nonunique | class 1 | connected | cyclic | graceful | median | noncayley | nonempty | noneulerian | nonhamiltonian | perfect | perfect matching | planar | projective planar | simple | stacked book | triangle-free | uniquely colorable | unit-distance | untraceable | weakly perfect
(not a named graph)
(not a named graph)
vertex degrees | 2 (16 vertices) | 9 (2 vertices)
radius | 2 diameter | 3 girth | 4 vertex connectivity | 2 edge connectivity | 2
(x - 1)^7 (x + 1)^7 (x^2 - 2 x - 7) (x^2 + 2 x - 7)
x^17 y^8 + 25 x^17 y^7 + 276 x^17 y^6 + 1764 x^17 y^5 + 7182 x^17 y^4 + 19278 x^17 y^3 + 34020 x^17 y^2 + 37908 x^17 y + 24057 x^17 + 24 x^16 y^7 + ... + 28 x^5 y^2 + 1708 x^5 y + 52962 x^5 + 168 x^4 y + 12642 x^4 + 8 x^3 y + 2300 x^3 + 300 x^2 + 25 x + 1 (82 terms)
x^17 + 8 x^16 + 36 x^15 + 8 x^14 y + 112 x^14 + 56 x^13 y + 266 x^13 + 28 x^12 y^2 + 196 x^12 y + 504 x^12 + 168 x^11 y^2 + 448 x^11 y + 784 x^11 + 56 x^10 y^3 + 476 x^10 y^2 + ... + 8 x y^5 + 8 x y^4 + 8 x y^3 + 8 x y^2 + 8 x y + x + y^8 + y^7 + y^6 + y^5 + y^4 + y^3 + y^2 + y (81 terms)
chromatic number | 2 edge chromatic number | 9
(-1 - 2 sqrt(2))^1 (1 - 2 sqrt(2))^1 (-1)^7 1^7 (-1 + 2 sqrt(2))^1 (1 + 2 sqrt(2))^1
Hosoya index | 7168 Kirchhoff index | 180.6 stability index | 8704 Wiener index | 337
