vertex count | 16 edge count | 32 connected component count | 1
asymmetric | bicolorable | biconnected | bipartite | biplanar | bridgeless | class 1 | connected | cyclic | Eulerian | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | integral | LCF | local | noncayley | nonempty | nonplanar | not determined by spectrum | perfect | perfect matching | quartic | regular | simple | traceable | triangle-free | uniquely colorable | weakly perfect | weakly regular
(not a named graph)
(not a named graph)
vertex degrees | 4 (16 vertices)
radius | 3 diameter | 4 girth | 4 vertex connectivity | 4 edge connectivity | 4
(x - 4) (x - 2)^4 x^6 (x + 2)^4 (x + 4)
x^15 y^17 + 32 x^15 y^16 + 496 x^15 y^15 + 4960 x^15 y^14 + 35944 x^15 y^13 + 200928 x^15 y^12 + 900112 x^15 y^11 + 3312672 x^15 y^10 + 10181864 x^15 y^9 + ... + 200704 x^5 + 4 x^4 y^2 + 672 x^4 y + 35936 x^4 + 24 x^3 y + 4960 x^3 + 496 x^2 + 32 x + 1 (109 terms)
x^15 + 17 x^14 + 153 x^13 + 24 x^12 y + 945 x^12 + 4 x^11 y^2 + 376 x^11 y + 4441 x^11 + 132 x^10 y^2 + 3116 x^10 y + ... + 69092 y^10 + 147786 y^9 + 275774 y^8 + 448508 y^7 + 628776 y^6 + 740676 y^5 + 699934 y^4 + 491112 y^3 + 223312 y^2 + 48253 y (108 terms)
chromatic number | 2 edge chromatic number | 4
(-4)^1 (-2)^4 0^6 2^4 4^1
Hosoya index | 40961 Kirchhoff index | 68.67 stability index | 10625 Wiener index | 248