P_4

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

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

acyclic | antipodal | apex | asymmetric | bicolorable | bipartite | black bishop | block | bridged | cactus | caterpillar | centipede | chordal | chordless | chromatically nonunique | class 1 | claw-free | connected | determined by resistance | determined by spectrum | distance-hereditary | dominating nonunique | flexible | forest | geodetic | graceful | grid | highly irregular | king | KP | k-tree | line graphs | linklessly embeddable | lobster | map | matchstick | median | Meyniel | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | outerplanar | path | path complement | perfect | perfect matching | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | self-complementary | simple | split | spoke | square-free | switchable | traceable | tree | triangle-free | unigraphic | uniquely colorable | uniquely embeddable | uniquely graceful | 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 | ∞ vertex connectivity | 1 edge connectivity | 1

(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