P_4

(1, 1, 4)-grid graph | (1, 4)-king graph | (2, 2)-firecracker graph | (2, 4)-black bishop graph | (2, 4)-white bishop graph | 2-centipede graph | 2-shuffle-exchange graph | 3-matchstick graph 3 | 4-graph 7 | (4)-grid graph | ...

vertex count | 4 edge count | 3 connected component count | 1

acyclic | antipodal | apex | asymmetric | bicolorable | bipartite | black bishop | bridged | cactus | caterpillar | centipede | 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 | path complement | perfect | perfect matching | planar | projective planar | pseudoforest | pseudotree | self-complementary | simple | split | square-free | traceable | tree | triangle-free | uniquely colorable | unit-distance | weakly perfect | well covered | white bishop

4-path graph

3-path graph

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

radius | 2 diameter | 3 girth | 4 vertex connectivity | 3 edge connectivity | 3

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

(x + 1)^3

x^3

chromatic number | 2 edge chromatic number | 2

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

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

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

Hosoya index | 5 Kirchhoff index | 10 stability index | 5 Wiener index | 10