K_(4, 10)

14-edge transitive graph 10 | (4, 10)-complete 2-partite graph

vertex count | 14 edge count | 40 connected component count | 1

asymmetric | bicolorable | biconnected | bipartite | biplanar | bridgeless | class 1 | complete bipartite | complete k-partite | conformally rigid | connected | cyclic | distance-hereditary | edge-transitive | Eulerian | fully reconstructible in C^1 | graceful | intrinsically linked | Meyniel | noncayley | nonempty | nongeometric | nonhamiltonian | nonplanar | no perfect matching | not uniquely embeddable | perfect | rigid | simple | strongly perfect | switchable | triangle-free | uniquely colorable | untraceable | weakly perfect

(not a named graph)

(4, 10)-rook graph

vertex degrees | 4 (10 vertices) | 10 (4 vertices)

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

x^12 (x^2 - 40)

x^13 y^27 + 40 x^13 y^26 + 780 x^13 y^25 + 9880 x^13 y^24 + 10 x^12 y^24 + 91380 x^13 y^23 + 360 x^12 y^23 + 657648 x^13 y^22 + 6300 x^12 y^22 + ... + 61009920 x^8 + 16696320 x^7 + 3667200 x^6 + 648288 x^5 + 91120 x^4 + 9880 x^3 + 780 x^2 + 40 x + 1 (153 terms)

y^27 + 13 y^26 + 91 y^25 + 10 x y^24 + 445 y^24 + 120 x y^23 + 1690 y^23 + 780 x y^22 + 5278 y^22 + 45 x^2 y^21 + ... + 3384 x^10 + 21015 x^9 + 93666 x^8 + 303744 x^7 + 716922 x^6 + 1217415 x^5 + 1447005 x^4 + 1140504 x^3 + 534013 x^2 + 111961 x (152 terms)

chromatic number | 2 edge chromatic number | 10

(-2 sqrt(10))^1 0^12 (2 sqrt(10))^1

Hosoya index | 8501 Kirchhoff index | 37.7 stability index | 41 Wiener index | 142