10-graph 11949995
K_(2, 2, 3, 3)
vertex count | 10 edge count | 37 connected component count | 1
asymmetric | biconnected | bridgeless | chromatically unique | class 1 | complete k-partite | connected | cyclic | determined by resistance | determined by spectrum | distance-hereditary | dominating nonunique | fully reconstructible in C^1 | Hamilton-connected | Hamiltonian | H-star connected | intrinsically linked | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonplanar | not uniquely embeddable | Ore | pancyclic | perfect | perfect matching | pretzel | rigid | simple | strongly perfect | switchable | traceable | Turán | ungraceful | uniquely colorable | weakly perfect
(not a named graph)
(not a named graph)
vertex degrees | 7 (6 vertices) | 8 (4 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 7 edge connectivity | 7
x^6 (x + 2) (x + 3) (x^2 - 5 x - 18)
x^9 y^28 + 37 x^9 y^27 + 666 x^9 y^26 + 7770 x^9 y^25 + 66045 x^9 y^24 + 435897 x^9 y^23 + 2324784 x^9 y^22 + 6 x^8 y^22 + 10295466 x^9 y^21 + ... + 13663356 x^8 + 6128770 x^7 + 1819686 x^6 + 393045 x^5 + 63737 x^4 + 7710 x^3 + 666 x^2 + 37 x + 1 (106 terms)
x^9 + 28 x^8 + 60 x^7 y + 346 x^7 + 36 x^6 y^3 + 246 x^6 y^2 + 1288 x^6 y + 2430 x^6 + 108 x^5 y^5 + 534 x^5 y^4 + ... + 579158 y^10 + 660543 y^9 + 713019 y^8 + 719453 y^7 + 665003 y^6 + 545555 y^5 + 378097 y^4 + 204495 y^3 + 75163 y^2 + 13730 y (105 terms)
chromatic number | 4 edge chromatic number | 8
(-3)^1 (1/2 (5 - sqrt(97)))^1 (-2)^1 0^6 (1/2 (5 + sqrt(97)))^1
Hosoya index | 4834 Kirchhoff index | 11.21 stability index | 146 Wiener index | 53