vertex count | 7 edge count | 16 connected component count | 1
almost Hamiltonian | asymmetric | biplanar | bridged | chordal | chromatically unique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | geodetic | line graphs | lollipop | maximally nonhamiltonian | noncayley | nonempty | noneulerian | nonhamiltonian | nonplanar | no perfect matching | perfect | simple | split | strongly perfect | toroidal | traceable | ungraceful | weakly perfect
(1, 5)-bipartite graph and singleton
(not a named graph)
vertex degrees | 1 (1 vertex) | 5 (5 vertices) | 6 (1 vertex)
radius | 1 diameter | 2 girth | 3 vertex connectivity | 1 edge connectivity | 1
-(x + 1)^4 (x^3 - 4 x^2 - 6 x + 4)
(x + 1) (x^5 y^10 + 15 x^5 y^9 + 105 x^5 y^8 + 455 x^5 y^7 + 1365 x^5 y^6 + 2997 x^5 y^5 + 4945 x^5 y^4 + 6165 x^5 y^3 + 5700 x^5 y^2 + 3660 x^5 y + ... + 1617 x^4 y + 1080 x^4 + 15 x^3 y^3 + 90 x^3 y^2 + 285 x^3 y + 435 x^3 + 20 x^2 y + 105 x^2 + 15 x + 1 (26 terms))
x (x^5 + 10 x^4 + 20 x^3 y + 35 x^3 + 15 x^2 y^3 + 45 x^2 y^2 + 90 x^2 y + 50 x^2 + 6 x y^6 + 24 x y^5 + 60 x y^4 + 105 x y^3 + 145 x y^2 + 106 x y + 24 x + y^10 + 5 y^9 + 15 y^8 + 35 y^7 + 64 y^6 + 96 y^5 + 120 y^4 + 120 y^3 + 80 y^2 + 24 y)
chromatic number | 6 edge chromatic number | 6
(root of 4 - 6 x - 4 x^2 + x^3 near x = -1.54751)^1 (-1)^4 (root of 4 - 6 x - 4 x^2 + x^3 near x = 0.513465)^1 (root of 4 - 6 x - 4 x^2 + x^3 near x = 5.03404)^1
(0 | 1 | 1 | 1 | 1 | 1 | 0 1 | 0 | 1 | 1 | 1 | 1 | 0 1 | 1 | 0 | 1 | 1 | 1 | 0 1 | 1 | 1 | 0 | 1 | 1 | 0 1 | 1 | 1 | 1 | 0 | 1 | 0 1 | 1 | 1 | 1 | 1 | 0 | 1 0 | 0 | 0 | 0 | 0 | 1 | 0)
(1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1)
Hosoya index | 102 Kirchhoff index | 12.67 stability index | 48 Wiener index | 26
