(10, 2)-cone Graph
vertex count | 12 edge count | 30 connected component count | 1
apex | asymmetric | biconnected | bridgeless | class 1 | cone | connected | cyclic | dipyramid | Eulerian | fully reconstructible in C^1 | Hamilton-connected | Hamiltonian | H-star connected | linklessly embeddable | map | Meyniel | noncayley | nonempty | nongeometric | pancyclic | perfect | perfect matching | planar | polyhedral | projective planar | rigid | simple | switchable | traceable | triangulated | ungraceful | uniquely colorable | uniquely embeddable | weakly perfect
(not a named graph)
10-prism graph
(not a named graph)
vertex degrees | 4 (10 vertices) | 10 (2 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4
x (x + 2) (x^2 - 2 x - 20) (x^2 - x - 1)^2 (x^2 + x - 1)^2
x^11 y^19 + 30 x^11 y^18 + 435 x^11 y^17 + 4060 x^11 y^16 + 27395 x^11 y^15 + 142246 x^11 y^14 + 590515 x^11 y^13 + 2009580 x^11 y^12 + 5701150 x^11 y^11 + ... + 8800 x^4 y + 26800 x^4 + 30 x^3 y^2 + 605 x^3 y + 4040 x^3 + 20 x^2 y + 435 x^2 + 30 x + 1 (104 terms)
x^11 + 19 x^10 + 20 x^9 y + 170 x^9 + 30 x^8 y^2 + 365 x^8 y + 915 x^8 + 10 x^7 y^4 + 120 x^7 y^3 + 780 x^7 y^2 + 2720 x^7 y + ... + 16698 y^11 + 25046 y^10 + 33979 y^9 + 42149 y^8 + 47954 y^7 + 49334 y^6 + 44120 y^5 + 32132 y^4 + 17387 y^3 + 6077 y^2 + 1013 y (103 terms)
chromatic number | 3 edge chromatic number | 10
(1 - sqrt(21))^1 (-2)^1 (1/2 (-1 - sqrt(5)))^2 (1/2 (1 - sqrt(5)))^2 0^1 (1/2 (-1 + sqrt(5)))^2 (1/2 (1 + sqrt(5)))^2 (1 + sqrt(21))^1
Hosoya index | 3573 Kirchhoff index | 30.84 stability index | 625 Wiener index | 102