P^__5

(5, 1)-uniquely pancyclic graph | (5, 2)-uniquely hamiltonian graph | 5-graph 28 | 5-path complement graph | 6-matchstick graph 7 | square with triangle graph

vertex count | 5 edge count | 6 connected component count | 1

apex | asymmetric | biconnected | bridgeless | chromatically unique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | flexible | graceful | Hamiltonian | line graphs | linklessly embeddable | map | matchstick | multigraphic | noncayley | nonempty | noneulerian | nongeometric | no perfect matching | outerplanar | pancyclic | path complement | perfect | planar | projective planar | quadratically embeddable | simple | switchable | traceable | uniquely embeddable | uniquely Hamiltonian | uniquely pancyclic | unit-distance | weakly perfect | well covered

5-path graph

(6, 9, 1)-unit distance forbidden subgraph

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

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

x (x + 2) (x^3 - 2 x^2 - 2 x + 2)

x^4 y^2 + 6 x^4 y + 11 x^4 + 4 x^3 y + 19 x^3 + x^2 y + 15 x^2 + 6 x + 1

x^4 + 2 x^3 + x^2 y + 2 x^2 + 2 x y + x + y^2 + y

chromatic number | 3 edge chromatic number | 3

(-2)^1 (root of 2 - 2 x - 2 x^2 + x^3 near x = -1.17009)^1 0^1 (root of 2 - 2 x - 2 x^2 + x^3 near x = 0.688892)^1 (root of 2 - 2 x - 2 x^2 + x^3 near x = 2.48119)^1

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

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

Hosoya index | 13 Kirchhoff index | 8.182 stability index | 2 Wiener index | 14