P_9

(1, 1, 9)-grid graph | (1, 4)-Sierpiński simplex graph | (1, 9)-king graph | (1, 9)-KP graph | 1-tree (9, 1) | (2, 4)-spoke graph | (2, 9)-black bishop graph | (2, 9)-white bishop graph | 8-matchstick graph 207 | 9-graph 31013 | ...

vertex count | 9 edge count | 8 connected component count | 1

acyclic | apex | asymmetric | bicolorable | bipartite | black bishop | block | bridged | cactus | caterpillar | chordal | chordless | chromatically nonunique | class 1 | claw-free | connected | determined by resistance | determined by spectrum | distance-hereditary | dominating nonunique | flexible | forest | geodetic | graceful | grid | king | KP | k-tree | line graphs | linklessly embeddable | lobster | map | matchstick | median | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | outerplanar | path | perfect | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | simple | spoke | square-free | switchable | traceable | tree | triangle-free | uniquely colorable | uniquely embeddable | unit-distance | weakly perfect | white bishop

9-path complement graph

8-path graph

vertex degrees | 1 (2 vertices) | 2 (7 vertices)

radius | 4 diameter | 8 girth | ∞ vertex connectivity | 1 edge connectivity | 1

x (x^2 - x - 1) (x^2 + x - 1) (x^4 - 5 x^2 + 5)

(x + 1)^8

x^8

chromatic number | 2 edge chromatic number | 2

(-sqrt(5/2 + sqrt(5)/2))^1 (1/2 (-1 - sqrt(5)))^1 (-sqrt(1/2 (5 - sqrt(5))))^1 (1/2 (1 - sqrt(5)))^1 0^1 (1/2 (-1 + sqrt(5)))^1 sqrt(1/2 (5 - sqrt(5)))^1 (1/2 (1 + sqrt(5)))^1 sqrt(5/2 + sqrt(5)/2)^1

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

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

Hosoya index | 55 Kirchhoff index | 120 stability index | 0 Wiener index | 120