K_(1, 1, 1, 3)

(3, 3)-cone graph | 6-graph 116

vertex count | 6 edge count | 12 connected component count | 1

apex | asymmetric | biconnected | biplanar | bridgeless | chordal | chromatically nonunique | class 1 | complete k-partite | cone | connected | critical nonplanar | cyclic | determined by resistance | determined by spectrum | graceful | Hamiltonian | noncayley | nonempty | noneulerian | nonplanar | Ore | pancyclic | perfect | perfect matching | projective planar | simple | singlecross | split | strongly perfect | toroidal | traceable | uniquely colorable | weakly perfect

triangle and three singletons

(not a named graph)

vertex degrees | 3 (3 vertices) | 5 (3 vertices)

radius | 1 diameter | 2 girth | 3 vertex connectivity | 3 edge connectivity | 3

x^2 (x + 1)^2 (x^2 - 2 x - 9)

x^5 y^7 + 12 x^5 y^6 + 66 x^5 y^5 + 217 x^5 y^4 + 468 x^5 y^3 + 681 x^5 y^2 + 645 x^5 y + 324 x^5 + 3 x^4 y^5 + 27 x^4 y^4 + 111 x^4 y^3 + 276 x^4 y^2 + 441 x^4 y + 387 x^4 + 3 x^3 y^3 + 27 x^3 y^2 + 108 x^3 y + 210 x^3 + 10 x^2 y + 66 x^2 + 12 x + 1

x^5 + 7 x^4 + 10 x^3 y + 18 x^3 + 3 x^2 y^3 + 18 x^2 y^2 + 33 x^2 y + 20 x^2 + 3 x y^5 + 12 x y^4 + 27 x y^3 + 39 x y^2 + 33 x y + 8 x + y^7 + 5 y^6 + 12 y^5 + 20 y^4 + 25 y^3 + 21 y^2 + 8 y

chromatic number | 4 edge chromatic number | 5

(1 - sqrt(10))^1 (-1)^2 0^2 (1 + sqrt(10))^1

(0 | 1 | 1 | 1 | 1 | 1 1 | 0 | 1 | 1 | 1 | 1 1 | 1 | 0 | 1 | 1 | 1 1 | 1 | 1 | 0 | 0 | 0 1 | 1 | 1 | 0 | 0 | 0 1 | 1 | 1 | 0 | 0 | 0)

(1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1)

Hosoya index | 46 Kirchhoff index | 7 stability index | 22 Wiener index | 18