(10, 3)-incidence Graph 1
GP(10, 3)
vertex count | 20 edge count | 30 connected component count | 1
antipodal | arc-transitive | bicolorable | biconnected | bicubic | bipartite | bipartite Kneser | biplanar | bridgeless | class 1 | conformally rigid | connected | cubic | cyclic | distance-regular | distance-transitive | double-toroidal | edge-transitive | flexible | fully reconstructible in C^1 | generalized Petersen | geometric | graceful | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | I graphs | incidence | integral | LCF | local | Meyniel | middle layer | multigraphic | noncayley | nonempty | noneulerian | nonplanar | not determined by spectrum | not uniquely embeddable | perfect | perfect matching | quadratically embeddable | regular | simple | square-free | switchable | symmetric | traceable | triangle-free | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | weakly regular
(20, 82)-noncayley transitive graph
Desargues line graph
vertex degrees | 3 (20 vertices)
radius | 5 diameter | 5 girth | 6 vertex connectivity | 3 edge connectivity | 3
(x - 3) (x - 2)^4 (x - 1)^5 (x + 1)^5 (x + 2)^4 (x + 3)
x^19 y^11 + 30 x^19 y^10 + 435 x^19 y^9 + 4040 x^19 y^8 + 26835 x^19 y^7 + 134706 x^19 y^6 + 525760 x^19 y^5 + 1612920 x^19 y^4 + 3866400 x^19 y^3 + ... + 480 x^6 y + 593755 x^6 + 20 x^5 y + 142506 x^5 + 27405 x^4 + 4060 x^3 + 435 x^2 + 30 x + 1 (89 terms)
x^19 + 11 x^18 + 66 x^17 + 286 x^16 + 1001 x^15 + 20 x^14 y + 2983 x^14 + 200 x^13 y + 7788 x^13 + 1130 x^12 y + 18098 x^12 + 60 x^11 y^2 + ... + 7915 x + y^11 + 19 y^10 + 170 y^9 + 950 y^8 + 3705 y^7 + 10634 y^6 + 22881 y^5 + 36320 y^4 + 40000 y^3 + 26749 y^2 + 7915 y (88 terms)
chromatic number | 2 edge chromatic number | 3
(-3)^1 (-2)^4 (-1)^5 1^5 2^4 3^1
Hosoya index | 113192 Kirchhoff index | 174.3 stability index | 200000 Wiener index | 500