8-graph 11836
vertex count | 8 edge count | 16 connected component count | 1
apex | asymmetric | biconnected | bridgeless | chordal | chromatically nonunique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | distance-hereditary | dominating nonunique | graceful | Hamiltonian | king | linklessly embeddable | map | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | pancyclic | perfect | perfect matching | planar | projective planar | Ptolemaic | quadratically embeddable | rigid | simple | switchable | traceable | uniquely embeddable | weakly perfect | well covered
(not a named graph)
(not a named graph)
vertex degrees | 3 (4 vertices) | 5 (4 vertices)
radius | 2 diameter | 3 girth | 3 vertex connectivity | 2 edge connectivity | 3
(x + 1)^4 (x^2 - 5) (x^2 - 4 x - 1)
x^7 y^9 + 16 x^7 y^8 + 120 x^7 y^7 + 556 x^7 y^6 + 1765 x^7 y^5 + 4016 x^7 y^4 + 6618 x^7 y^3 + 7716 x^7 y^2 + 5888 x^7 y + 2304 x^7 + 4 x^6 y^7 + ... + 364 x^4 y^2 + 1078 x^4 y + 1647 x^4 + 3 x^3 y^3 + 26 x^3 y^2 + 173 x^3 y + 548 x^3 + 12 x^2 y + 120 x^2 + 16 x + 1 (38 terms)
x^7 + 9 x^6 + 12 x^5 y + 33 x^5 + 3 x^4 y^3 + 17 x^4 y^2 + 70 x^4 y + 63 x^4 + 8 x^3 y^4 + 34 x^3 y^3 + 110 x^3 y^2 + 152 x^3 y + 66 x^3 + 2 x^2 y^6 + ... + 159 x y^4 + 206 x y^3 + 160 x y^2 + 64 x y + 8 x + y^9 + 7 y^8 + 24 y^7 + 55 y^6 + 89 y^5 + 100 y^4 + 76 y^3 + 36 y^2 + 8 y (37 terms)
chromatic number | 4 edge chromatic number | 5
(-sqrt(5))^1 (-1)^4 (2 - sqrt(5))^1 sqrt(5)^1 (2 + sqrt(5))^1
(0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0)
(1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1)
Hosoya index | 172 Kirchhoff index | 16.67 stability index | 160 Wiener index | 44