(1, 4)-fan graph | 2-tree (5, 2) | 3-polyiamond 1 | (5, 3)-uniquely hamiltonian graph | 5-graph 29 | 5-maximum planar embedding graph 4 | 7-matchstick graph 1

vertex count | 5 edge count | 7 connected component count | 1

apex | asymmetric | biconnected | bridgeless | chordal | chromatically nonunique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | fan | graceful | Hamiltonian | k-tree | Laman | line graphs | linklessly embeddable | map | matchstick | Meyniel | noncayley | nonempty | noneulerian | nongeometric | no perfect matching | not uniquely embeddable | outerplanar | pancyclic | perfect | planar | polyiamond | projective planar | quadratically embeddable | rigid | simple | split | switchable | traceable | unigraphic | uniquely colorable | uniquely Hamiltonian | unit-distance | weakly perfect

4-path and singleton

7-graph 1009

vertex degrees | 2 (2 vertices) | 3 (2 vertices) | 4 (1 vertex)

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

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

x^4 y^3 + 7 x^4 y^2 + 19 x^4 y + 21 x^4 + 2 x^3 y^2 + 14 x^3 y + 32 x^3 + 3 x^2 y + 21 x^2 + 7 x + 1

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

chromatic number | 3 edge chromatic number | 4

(1/2 (-1 - sqrt(5)))^1 (root of -2 - 5 x - x^2 + x^3 near x = -1.47283)^1 (root of -2 - 5 x - x^2 + x^3 near x = -0.462598)^1 (1/2 (-1 + sqrt(5)))^1 (root of -2 - 5 x - x^2 + x^3 near x = 2.93543)^1

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

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

Hosoya index | 15 Kirchhoff index | 6.952 stability index | 8 Wiener index | 13