P_2×S_3
vertex count | 10 edge count | 13 connected component count | 1
apex | asymmetric | bicolorable | biconnected | bipartite | book | bridgeless | chromatically nonunique | class 1 | connected | cyclic | determined by resistance | graceful | integral | median | noncayley | nonempty | noneulerian | nonhamiltonian | not determined by spectrum | 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 (8 vertices) | 5 (2 vertices)
radius | 2 diameter | 3 girth | 4 vertex connectivity | 2 edge connectivity | 2
(x - 3) (x - 1)^4 (x + 1)^4 (x + 3)
x^9 y^4 + 13 x^9 y^3 + 66 x^9 y^2 + 162 x^9 y + 189 x^9 + 12 x^8 y^3 + 120 x^8 y^2 + 432 x^8 y + 729 x^8 + 4 x^7 y^3 + 94 x^7 y^2 + 522 x^7 y + 1350 <<1>> + ... + 360 x^6 y + 1566 x^6 + 6 x^5 y^2 + 150 x^5 y + 1251 x^5 + 36 x^4 y + 711 x^4 + 4 x^3 y + 286 x^3 + 78 x^2 + 13 x + 1 (26 terms)
x^9 + 4 x^8 + 10 x^7 + 4 x^6 y + 16 x^6 + 12 x^5 y + 19 x^5 + 6 x^4 y^2 + 18 x^4 y + 16 x^4 + 12 x^3 y^2 + 16 x^3 y + 10 x^3 + 4 x^2 y^3 + 10 x^2 y^2 + 10 x^2 y + 4 x^2 + 4 x y^3 + 4 x y^2 + 4 x y + x + y^4 + y^3 + y^2 + y
chromatic number | 2 edge chromatic number | 5
(-3)^1 (-1)^4 1^4 3^1
Hosoya index | 176 Kirchhoff index | 48.43 stability index | 160 Wiener index | 89
