10-graph 1727519
(K_2 square K_5)^_
vertex count | 10 edge count | 20 connected component count | 1
antipodal | arc-transitive | bicolorable | biconnected | bipartite | bipartite Kneser | biplanar | bridgeless | Cayley graphs | chromatically unique | circulant | class 1 | conformally rigid | connected | crown | cyclic | determined by resistance | determined by spectrum | distance-regular | distance-transitive | dominating unique | edge-transitive | Eulerian | fully reconstructible in C^1 | geometric | graceful | Haar | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | integral | LCF | linklessly embeddable | local | Meyniel | multigraphic | nonempty | nonplanar | not uniquely embeddable | perfect | perfect matching | quartic | regular | rigid | rook complement | simple | switchable | symmetric | Taylor | toroidal | traceable | triangle-free | uniquely colorable | vertex-transitive | weakly perfect | weakly regular
(2, 5)-rook graph
(5, 2)-arrangement graph
vertex degrees | 4 (10 vertices)
radius | 3 diameter | 3 girth | 4 vertex connectivity | 4 edge connectivity | 4
(x - 4) (x - 1)^4 (x + 1)^4 (x + 4)
x^9 y^11 + 20 x^9 y^10 + 190 x^9 y^9 + 1140 x^9 y^8 + 4835 x^9 y^7 + 15344 x^9 y^6 + 37540 x^9 y^5 + 71680 x^9 y^4 + 106395 x^9 y^3 + 119460 x^9 y^2 + ... + 3670 x^5 y + 15024 x^5 + 20 x^4 y^2 + 480 x^4 y + 4815 x^4 + 30 x^3 y + 1140 x^3 + 190 x^2 + 20 x + 1 (45 terms)
x^9 + 11 x^8 + 66 x^7 + 30 x^6 y + 256 x^6 + 20 x^5 y^2 + 260 x^5 y + 691 x^5 + 30 x^4 y^3 + 270 x^4 y^2 + 1090 x^4 y + 1283 x^4 + 60 x^3 y^4 + ... + 1900 x y + 328 x + y^11 + 9 y^10 + 45 y^9 + 155 y^8 + 405 y^7 + 837 y^6 + 1398 y^5 + 1850 y^4 + 1815 y^3 + 1140 y^2 + 328 y (44 terms)
chromatic number | 2 edge chromatic number | 4
(-4)^1 (-1)^4 1^4 4^1
Hosoya index | 780 Kirchhoff index | 22.58 stability index | 272 Wiener index | 75