5-graph 13 | 5-matchstick graph 3 | 5-maximum planar embedding graph 1 | 5-self-complementary graph 1

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

apex | asymmetric | block | bridged | cactus | chordal | chordless | chromatically nonunique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | distance-hereditary | dominating nonunique | flexible | geodetic | graceful | line graphs | linklessly embeddable | map | matchstick | Meyniel | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | not uniquely embeddable | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | self-complementary | simple | split | square-free | switchable | traceable | unicyclic | unigraphic | unit-distance | weakly perfect

bull graph

gem graph

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

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

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

(x + 1)^2 (x^2 y + 3 x^2 + 3 x + 1)

x^2 (x^2 + x + y)

chromatic number | 3 edge chromatic number | 3

(1/2 (-1 - sqrt(5)))^1 (1/2 (1 - sqrt(13)))^1 0^1 (1/2 (-1 + sqrt(5)))^1 (1/2 (1 + sqrt(13)))^1

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

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

Hosoya index | 9 Kirchhoff index | 13.33 stability index | 2 Wiener index | 16