P_7
vertex count | 7 edge count | 6 connected component count | 1
acyclic | 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 | no perfect matching | outerplanar | path | perfect | planar | projective planar | pseudoforest | pseudotree | simple | square-free | traceable | tree | triangle-free | uniquely colorable | unit-distance | weakly perfect | white bishop
7-path complement graph
6-path graph
vertex degrees | 1 (2 vertices) | 2 (5 vertices)
radius | 3 diameter | 6 girth | ∞ vertex connectivity | 1 edge connectivity | 1
-x (x^2 - 2) (x^4 - 4 x^2 + 2)
(x + 1)^6
x^6
chromatic number | 2 edge chromatic number | 2
(-sqrt(2 + sqrt(2)))^1 (-sqrt(2))^1 (-sqrt(2 - sqrt(2)))^1 0^1 sqrt(2 - sqrt(2))^1 sqrt(2)^1 sqrt(2 + sqrt(2))^1
(0 | 1 | 0 | 0 | 0 | 0 | 0 1 | 0 | 1 | 0 | 0 | 0 | 0 0 | 1 | 0 | 1 | 0 | 0 | 0 0 | 0 | 1 | 0 | 1 | 0 | 0 0 | 0 | 0 | 1 | 0 | 1 | 0 0 | 0 | 0 | 0 | 1 | 0 | 1 0 | 0 | 0 | 0 | 0 | 1 | 0)
(1 | 0 | 0 | 0 | 0 | 0 1 | 1 | 0 | 0 | 0 | 0 0 | 1 | 1 | 0 | 0 | 0 0 | 0 | 1 | 1 | 0 | 0 0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 1 | 1 0 | 0 | 0 | 0 | 0 | 1)
Hosoya index | 21 Kirchhoff index | 56 stability index | 0 Wiener index | 56
