(10, 2)-stacked Book Graph
P_2×S_9
vertex count | 22 edge count | 31 connected component count | 1
apex | asymmetric | bicolorable | biconnected | bipartite | book | bridgeless | chromatically nonunique | class 1 | connected | cyclic | flexible | graceful | linklessly embeddable | map | median | Meyniel | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | perfect | perfect matching | planar | projective planar | quadratically embeddable | simple | stacked book | switchable | triangle-free | uniquely colorable | uniquely embeddable | unit-distance | untraceable | weakly perfect
(not a named graph)
(not a named graph)
vertex degrees | 2 (20 vertices) | 11 (2 vertices)
radius | 2 diameter | 3 girth | 4 vertex connectivity | 2 edge connectivity | 2
(x - 1)^9 (x + 1)^9 (x^2 - 2 x - 9) (x^2 + 2 x - 9)
y^10 x^21 + 31 y^9 x^21 + 435 y^8 x^21 + 3645 y^7 x^21 + 20250 y^6 x^21 + 78246 y^5 x^21 + 214326 y^4 x^21 + 415530 y^3 x^21 + 557685 y^2 x^21 + 492075 y x^21 + ... + 3555 y x^5 + 169641 x^5 + 270 y x^4 + 31455 x^4 + 10 y x^3 + 4495 x^3 + 465 x^2 + 31 x + 1 (122 terms)
x^21 + 10 x^20 + 55 x^19 + 10 x^18 y + 210 x^18 + 90 x^17 y + 615 x^17 + 45 x^16 y^2 + 405 x^16 y + 1452 x^16 + 360 x^15 y^2 + 1200 x^15 y + 2850 x^15 + 120 x^14 y^3 + 1380 x^14 y^2 + ... + 10 x y^3 + 10 x y^2 + 10 x y + x + y^10 + y^9 + y^8 + y^7 + y^6 + y^5 + y^4 + y^3 + y^2 + y (121 terms)
chromatic number | 2 edge chromatic number | 11
(-1 - sqrt(10))^1 (1 - sqrt(10))^1 (-1)^9 1^9 (-1 + sqrt(10))^1 (1 + sqrt(10))^1
Hosoya index | 40448 Kirchhoff index | 278.7 stability index | 53248 Wiener index | 521