K_(2, 2, 3)

(2, 2, 3)-complete 3-partite graph | (4, 3)-cone graph | (7, 3)-Turán graph | 7-graph 913

vertex count | 7 edge count | 16 connected component count | 1

apex | asymmetric | biconnected | biplanar | bridgeless | chromatically unique | class 2 | complete k-partite | complete tripartite | cone | connected | cyclic | determined by resistance | determined by spectrum | doublecross | graceful | Hamilton-connected | Hamiltonian | H-star connected | noncayley | nonempty | noneulerian | nonplanar | no perfect matching | Ore | pancyclic | perfect | simple | strongly perfect | toroidal | traceable | Turán | uniquely colorable | weakly perfect

triangle and two 2-paths

(not a named graph)

vertex degrees | 4 (3 vertices) | 5 (4 vertices)

radius | 2 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4

-x^4 (x + 2) (x^2 - 2 x - 12)

x^6 y^10 + 16 x^6 y^9 + 120 x^6 y^8 + 560 x^6 y^7 + 1817 x^6 y^6 + 4328 x^6 y^5 + 7766 x^6 y^4 + 10548 x^6 y^3 + 10628 x^6 y^2 + 7396 x^6 y + ... + 522 x^4 y^2 + 1296 x^4 y + 1633 x^4 + 24 x^3 y^2 + 187 x^3 y + 548 x^3 + 12 x^2 y + 120 x^2 + 16 x + 1 (31 terms)

x^6 + 10 x^5 + 12 x^4 y + 43 x^4 + 24 x^3 y^2 + 91 x^3 y + 93 x^3 + 15 x^2 y^4 + 64 x^2 y^3 + 168 x^2 y^2 + 219 x^2 y + 98 x^2 + 3 x y^7 + ... + 300 x y^2 + 191 x y + 39 x + y^10 + 6 y^9 + 21 y^8 + 53 y^7 + 104 y^6 + 165 y^5 + 213 y^4 + 208 y^3 + 132 y^2 + 39 y (30 terms)

chromatic number | 3 edge chromatic number | 6

(1 - sqrt(13))^1 (-2)^1 0^4 (1 + sqrt(13))^1

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

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

Hosoya index | 127 Kirchhoff index | 8.3 stability index | 24 Wiener index | 26