10-graph 8329283
T_3
vertex count | 10 edge count | 18 connected component count | 1
apex | asymmetric | biconnected | bridgeless | chromatically nonunique | class 1 | connected | cyclic | determined by resistance | dominating nonunique | Eulerian | Hamiltonian | linklessly embeddable | map | matchstick | multigraphic | noncayley | nonempty | nongeometric | not determined by spectrum | not uniquely embeddable | pancyclic | perfect | perfect matching | planar | polyiamond | projective planar | quadratically embeddable | rigid | simple | switchable | traceable | triangular grid | triangular honeycomb king | ungraceful | uniquely colorable | unit-distance | weakly perfect
(not a named graph)
(not a named graph)
vertex degrees | 2 (3 vertices) | 4 (6 vertices) | 6 (1 vertex)
radius | 2 diameter | 3 girth | 3 vertex connectivity | 2 edge connectivity | 2
(x - 4) x (x + 2)^2 (x^3 - 3 x - 1)^2
x^9 y^9 + 18 x^9 y^8 + 150 x^9 y^7 + 768 x^9 y^6 + 2688 x^9 y^5 + 6732 x^9 y^4 + 12184 x^9 y^3 + 15534 x^9 y^2 + 12825 x^9 y + 5292 x^9 + 3 x^8 y^8 + ... + 12 x^4 y^3 + 168 x^4 y^2 + 1056 x^4 y + 2916 x^4 + 9 x^3 y^2 + 144 x^3 y + 807 x^3 + 9 x^2 y + 153 x^2 + 18 x + 1 (50 terms)
x^9 + 9 x^8 + 9 x^7 y + 36 x^7 + 9 x^6 y^2 + 63 x^6 y + 84 x^6 + 12 x^5 y^3 + 78 x^5 y^2 + 189 x^5 y + 126 x^5 + 15 x^4 y^4 + 96 x^4 y^3 + 255 x^4 y^2 + ... + 244 x y^4 + 257 x y^3 + 165 x y^2 + 52 x y + 5 x + y^9 + 6 y^8 + 21 y^7 + 47 y^6 + 75 y^5 + 83 y^4 + 62 y^3 + 27 y^2 + 5 y (49 terms)
chromatic number | 3 edge chromatic number | 6
(-2)^2 (root of -1 - 3 x + x^3 near x = -1.53209)^2 (root of -1 - 3 x + x^3 near x = -0.347296)^2 0^1 (root of -1 - 3 x + x^3 near x = 1.87939)^2 4^1
Hosoya index | 425 Kirchhoff index | 34.29 stability index | 283 Wiener index | 81