P_2×S_5
vertex count | 14 edge count | 19 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 (12 vertices) | 7 (2 vertices)
radius | 2 diameter | 3 girth | 4 vertex connectivity | 2 edge connectivity | 2
(x - 1)^5 (x + 1)^5 (x^2 - 2 x - 5) (x^2 + 2 x - 5)
x^13 y^6 + 19 x^13 y^5 + 153 x^13 y^4 + 675 x^13 y^3 + 1755 x^13 y^2 + 2673 x^13 y + 2187 x^13 + 18 x^12 y^5 + 288 x^12 y^4 + 1890 x^12 y^3 + 6480 x^12 y^2 + ... + 15 x^5 y^2 + 645 x^5 y + 11538 x^5 + 90 x^4 y + 3870 x^4 + 6 x^3 y + 969 x^3 + 171 x^2 + 19 x + 1 (50 terms)
x^13 + 6 x^12 + 21 x^11 + 6 x^10 y + 50 x^10 + 30 x^9 y + 90 x^9 + 15 x^8 y^2 + 75 x^8 y + 126 x^8 + 60 x^7 y^2 + 120 x^7 y + 141 x^7 + 20 x^6 y^3 + 110 x^6 y^2 + ... + 21 x^2 y^2 + 21 x^2 y + 6 x^2 + 6 x y^5 + 6 x y^4 + 6 x y^3 + 6 x y^2 + 6 x y + x + y^6 + y^5 + y^4 + y^3 + y^2 + y (49 terms)
chromatic number | 2 edge chromatic number | 7
(-1 - sqrt(6))^1 (1 - sqrt(6))^1 (-1)^5 1^5 (-1 + sqrt(6))^1 (1 + sqrt(6))^1
Hosoya index | 1184 Kirchhoff index | 103.9 stability index | 1280 Wiener index | 193
