K_(1, 1, 1, 1, 1, 3)
vertex count | 8 edge count | 25 connected component count | 1
asymmetric | biconnected | biplanar | bridgeless | chordal | chordless | chromatically nonunique | class 1 | complete k-partite | connected | cyclic | determined by resistance | determined by spectrum | double-toroidal | Hamilton-connected | Hamiltonian | H-star connected | noncayley | nonempty | noneulerian | nonplanar | Ore | pancyclic | perfect | perfect matching | simple | split | strongly perfect | traceable | ungraceful | uniquely colorable | weakly perfect
triangle and five singletons
(not a named graph)
vertex degrees | 5 (3 vertices) | 7 (5 vertices)
radius | 1 diameter | 2 girth | 3 vertex connectivity | 5 edge connectivity | 5
x^2 (x + 1)^4 (x^2 - 4 x - 15)
x^7 y^18 + 25 x^7 y^17 + 300 x^7 y^16 + 2300 x^7 y^15 + 12650 x^7 y^14 + 53127 x^7 y^13 + 177040 x^7 y^12 + 480125 x^7 y^11 + 1078065 x^7 y^10 + 2027675 x^7 y^9 + ... + 11635 x^4 + 35 x^3 y^3 + 240 x^3 y^2 + 1015 x^3 y + 2260 x^3 + 40 x^2 y + 300 x^2 + 25 x + 1 (60 terms)
x^7 + 18 x^6 + 40 x^5 y + 131 x^5 + 35 x^4 y^3 + 135 x^4 y^2 + 440 x^4 y + 490 x^4 + 16 x^3 y^6 + 94 x^3 y^5 + 280 x^3 y^4 + 655 x^3 y^3 + ... + 1429 y^11 + 2236 y^10 + 3220 y^9 + 4285 y^8 + 5275 y^7 + 5964 y^6 + 6066 y^5 + 5300 y^4 + 3650 y^3 + 1700 y^2 + 384 y (59 terms)
chromatic number | 6 edge chromatic number | 7
(2 - sqrt(19))^1 (-1)^4 0^2 (2 + sqrt(19))^1
(0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0)
Hosoya index | 536 Kirchhoff index | 8.2 stability index | 146 Wiener index | 31
