K_4-e

(1, 1, 2)-complete 3-partite graph | (1, 1, 2)-complete tripartite graph | (1, 3)-fan graph | (2, 2)-fan graph | 2-polyiamond 1 | (4, 3)-Turán graph | 4-graph 10 | 5-matchstick graph 1

vertex count | 4 edge count | 5 connected component count | 1

apex | asymmetric | biconnected | bridgeless | chordal | chromatically unique | class 1 | claw-free | complete k-partite | complete tripartite | connected | cyclic | determined by resistance | determined by spectrum | fan | graceful | Hamiltonian | Laman | line graphs | matchstick | noncayley | nonempty | noneulerian | Ore | outerplanar | pancyclic | perfect | perfect matching | planar | polyiamond | projective planar | simple | split | strongly perfect | traceable | Turán | uniquely colorable | unit-distance | weakly perfect

2-path and two singletons

5-wheel graph

vertex degrees | 2 (2 vertices) | 3 (2 vertices)

radius | 1 diameter | 2 girth | 3 vertex connectivity | 2 edge connectivity | 2

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

x^3 y^2 + 5 x^3 y + 8 x^3 + 2 x^2 y + 10 x^2 + 5 x + 1

x^3 + 2 x^2 + 2 x y + x + y^2 + y

chromatic number | 3 edge chromatic number | 3

(1/2 (1 - sqrt(17)))^1 (-1)^1 0^1 (1/2 (1 + sqrt(17)))^1

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

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

Hosoya index | 8 Kirchhoff index | 4 stability index | 6 Wiener index | 7