P^__6

(6, 1)-self dual graph | 6-graph 145 | hexahedral graph 3 | tetragonal antiwedge graph

vertex count | 6 edge count | 10 connected component count | 1

apex | asymmetric | biconnected | bridgeless | chromatically unique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | graceful | Hamilton-connected | Hamiltonian | H-star connected | noncayley | nonempty | noneulerian | Ore | pancyclic | path complement | perfect | perfect matching | planar | polyhedral | projective planar | self-dual | simple | traceable | uniquely colorable | weakly perfect | well covered

6-path graph

6-path complement graph

(not a named graph)

vertex degrees | 3 (4 vertices) | 4 (2 vertices)

radius | 2 diameter | 2 girth | 3 vertex connectivity | 3 edge connectivity | 3

(x^3 - 2 x^2 - 5 x + 1) (x^3 + 2 x^2 - x - 1)

x^5 y^5 + 10 x^5 y^4 + 45 x^5 y^3 + 116 x^5 y^2 + 176 x^5 y + 130 x^5 + 4 x^4 y^3 + 34 x^4 y^2 + 119 x^4 y + 176 x^4 + 3 x^3 y^2 + 34 x^3 y + 116 x^3 + 4 x^2 y + 45 x^2 + 10 x + 1

x^5 + 5 x^4 + 4 x^3 y + 11 x^3 + 3 x^2 y^2 + 16 x^2 y + 12 x^2 + 4 x y^3 + 16 x y^2 + 19 x y + 5 x + y^5 + 5 y^4 + 11 y^3 + 12 y^2 + 5 y

chromatic number | 3 edge chromatic number | 4

(root of -1 - x + 2 x^2 + x^3 near x = -2.24698)^1 (root of 1 - 5 x - 2 x^2 + x^3 near x = -1.57577)^1 (root of -1 - x + 2 x^2 + x^3 near x = -0.554958)^1 (root of 1 - 5 x - 2 x^2 + x^3 near x = 0.187284)^1 (root of -1 - x + 2 x^2 + x^3 near x = 0.801938)^1 (root of 1 - 5 x - 2 x^2 + x^3 near x = 3.38849)^1

(0 | 0 | 1 | 1 | 1 | 1 0 | 0 | 0 | 1 | 1 | 1 1 | 0 | 0 | 0 | 1 | 1 1 | 1 | 0 | 0 | 0 | 1 1 | 1 | 1 | 0 | 0 | 0 1 | 1 | 1 | 1 | 0 | 0)

(1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1)

Hosoya index | 37 Kirchhoff index | 8.392 stability index | 21 Wiener index | 20