P_2×P_4

10-matchstick graph 1755 | (1, 2, 4)-grid graph | (1, 4)-stacked book graph | (2, 4)-grid graph | (2, 4)-KP graph | 3-polyomino graph 2 | (4, 2)-bar graph | (8, 43)-uniquely hamiltonian graph | 8-graph 3551

vertex count | 8 edge count | 10 connected component count | 1

antipodal | apex | asymmetric | bicolorable | biconnected | bipartite | bridgeless | chromatically nonunique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | flexible | graceful | grid | Hamiltonian | KP | ladder | linklessly embeddable | map | matchstick | median | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | not uniquely embeddable | outerplanar | perfect | perfect matching | planar | polyomino | projective planar | quadratically embeddable | simple | stacked book | switchable | traceable | triangle-free | uniquely colorable | uniquely Hamiltonian | unit-distance | weakly perfect

(not a named graph)

(3, 7)-white bishop graph

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

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

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

x^7 y^3 + 10 x^7 y^2 + 38 x^7 y + 56 x^7 + 7 x^6 y^2 + 62 x^6 y + 163 x^6 + 2 x^5 y^2 + 47 x^5 y + 234 x^5 + 18 x^4 y + 207 x^4 + 3 x^3 y + 120 x^3 + 45 x^2 + 10 x + 1

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

chromatic number | 2 edge chromatic number | 3

(1/2 (-3 - sqrt(5)))^1 (1/2 (-1 - sqrt(5)))^1 (1/2 (1 - sqrt(5)))^1 (1/2 (-3 + sqrt(5)))^1 (1/2 (3 - sqrt(5)))^1 (1/2 (-1 + sqrt(5)))^1 (1/2 (1 + sqrt(5)))^1 (1/2 (3 + sqrt(5)))^1

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

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

Hosoya index | 71 Kirchhoff index | 30.57 stability index | 45 Wiener index | 56