P_10

10-graph 190066 | (10)-grid graph | 10-tree 1 | (1, 10)-king graph | (1, 10)-KP graph | (1, 1, 10)-grid graph | 1-tree (10, 1) | (2, 10)-black bishop graph | (2, 10)-white bishop graph | 9-matchstick graph 633

vertex count | 10 edge count | 9 connected component count | 1

acyclic | antipodal | 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 | outerplanar | path | perfect | perfect matching | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | simple | square-free | switchable | traceable | tree | triangle-free | uniquely colorable | uniquely embeddable | unit-distance | weakly perfect | white bishop

10-path complement graph

9-path graph

vertex degrees | 1 (2 vertices) | 2 (8 vertices)

radius | 5 diameter | 9 girth | ∞ vertex connectivity | 1 edge connectivity | 1

(x^5 - x^4 - 4 x^3 + 3 x^2 + 3 x - 1) (x^5 + x^4 - 4 x^3 - 3 x^2 + 3 x + 1)

(x + 1)^9

x^9

chromatic number | 2 edge chromatic number | 2

(-1.91899)^1 (-1.68251)^1 (-1.30972)^1 (-0.83083)^1 (-0.28463)^1 0.28463^1 0.83083^1 1.30972^1 1.68251^1 1.91899^1

Hosoya index | 89 Kirchhoff index | 165 stability index | 89 Wiener index | 165