P_6
vertex count | 6 edge count | 5 connected component count | 1
acyclic | antipodal | apex | asymmetric | bicolorable | bipartite | black bishop | bridged | cactus | caterpillar | chordal | chordless | chromatically nonunique | class 1 | claw-free | connected | determined by resistance | determined by spectrum | forest | geodetic | graceful | grid | king | line graphs | lobster | matchstick | median | noncayley | nonempty | noneulerian | nonhamiltonian | outerplanar | path | perfect | perfect matching | planar | projective planar | pseudoforest | pseudotree | simple | square-free | traceable | tree | triangle-free | uniquely colorable | unit-distance | weakly perfect | white bishop
6-path complement graph
5-path graph
vertex degrees | 1 (2 vertices) | 2 (4 vertices)
radius | 3 diameter | 5 girth | ∞ vertex connectivity | 1 edge connectivity | 1
(x^3 - x^2 - 2 x + 1) (x^3 + x^2 - 2 x - 1)
(x + 1)^5
x^5
chromatic number | 2 edge chromatic number | 2
(root of -1 - 2 x + x^2 + x^3 near x = -1.80194)^1 (root of 1 - 2 x - x^2 + x^3 near x = -1.24698)^1 (root of -1 - 2 x + x^2 + x^3 near x = -0.445042)^1 (root of 1 - 2 x - x^2 + x^3 near x = 0.445042)^1 (root of -1 - 2 x + x^2 + x^3 near x = 1.24698)^1 (root of 1 - 2 x - x^2 + x^3 near x = 1.80194)^1
(0 | 1 | 0 | 0 | 0 | 0 1 | 0 | 1 | 0 | 0 | 0 0 | 1 | 0 | 1 | 0 | 0 0 | 0 | 1 | 0 | 1 | 0 0 | 0 | 0 | 1 | 0 | 1 0 | 0 | 0 | 0 | 1 | 0)
(1 | 0 | 0 | 0 | 0 1 | 1 | 0 | 0 | 0 0 | 1 | 1 | 0 | 0 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 1 | 1 0 | 0 | 0 | 0 | 1)
Hosoya index | 13 Kirchhoff index | 35 stability index | 13 Wiener index | 35
