(2, 3)-Jahangir graph | (2, 3)-Mongolian tent graph | 3-bipartite wheel graph | 7-graph 778 | 9-matchstick graph 521

vertex count | 7 edge count | 9 connected component count | 1

almost Hamiltonian | apex | asymmetric | bicolorable | biconnected | bipartite | bridgeless | chromatically unique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | flexible | gear | graceful | Jahangir | linklessly embeddable | map | matchstick | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | perfect | planar | projective planar | quadratically embeddable | simple | switchable | traceable | triangle-free | uniquely colorable | uniquely embeddable | unit-distance | weakly perfect

2-Plummer-Toft graph

Johnson solid skeleton 3

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

radius | 2 diameter | 3 girth | 4 vertex connectivity | 2 edge connectivity | 2

(x - 1)^2 x (x + 1)^2 (x^2 - 7)

x^6 y^3 + 9 x^6 y^2 + 33 x^6 y + 50 x^6 + 3 x^5 y^2 + 34 x^5 y + 111 x^5 + 15 x^4 y + 123 x^4 + 3 x^3 y + 84 x^3 + 36 x^2 + 9 x + 1

x^6 + 3 x^5 + 6 x^4 + 3 x^3 y + 7 x^3 + 6 x^2 y + 6 x^2 + 3 x y^2 + 7 x y + 2 x + y^3 + 3 y^2 + 2 y

chromatic number | 2 edge chromatic number | 3

(-sqrt(7))^1 (-1)^2 0^1 1^2 sqrt(7)^1

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

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

Hosoya index | 42 Kirchhoff index | 18 stability index | 0 Wiener index | 36