Heule Graphs
vertex count | 10 edge count | 16 connected component count | 1
apex | asymmetric | biconnected | bridgeless | chromatically unique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | flexible | graceful | Hamiltonian | imperfect | linklessly embeddable | map | matchstick | multigraphic | noncayley | nonempty | noneulerian | nongeometric | perfect matching | planar | projective planar | simple | switchable | traceable | uniquely embeddable | unit-distance | well covered
(not a named graph)
(not a named graph)
vertex degrees | 3 (8 vertices) | 4 (2 vertices)
radius | 3 diameter | 3 girth | 3 vertex connectivity | 2 edge connectivity | 3
(x - 2) (x + 1)^3 (x + 2) (x^2 - 2 x - 1) (x^3 - x^2 - 7 x - 1)
x^9 y^7 + 16 x^9 y^6 + 120 x^9 y^5 + 548 x^9 y^4 + 1643 x^9 y^3 + 3216 x^9 y^2 + 3776 x^9 y + 2048 x^9 + 12 x^8 y^5 + 177 x^8 y^4 + 1122 x^8 y^3 + ... + 3870 x^5 + 45 x^4 y^2 + 495 x^4 y + 1739 x^4 + 3 x^3 y^2 + 81 x^3 y + 554 x^3 + 6 x^2 y + 120 x^2 + 16 x + 1 (38 terms)
x^9 + 7 x^8 + 6 x^7 y + 22 x^7 + 3 x^6 y^2 + 33 x^6 y + 42 x^6 + 27 x^5 y^2 + 81 x^5 y + 57 x^5 + 12 x^4 y^3 + 81 x^4 y^2 + 123 x^4 y + 63 x^4 + ... + 32 x^2 + 12 x y^5 + 66 x y^4 + 140 x y^3 + 138 x y^2 + 60 x y + 8 x + y^7 + 9 y^6 + 33 y^5 + 63 y^4 + 66 y^3 + 36 y^2 + 8 y (37 terms)
chromatic number | 4 edge chromatic number | 4
(root of -1 - 7 x - x^2 + x^3 near x = -2.10278)^1 (-2)^1 (-1)^3 (1 - sqrt(2))^1 (root of -1 - 7 x - x^2 + x^3 near x = -0.146365)^1 2^1 (1 + sqrt(2))^1 (root of -1 - 7 x - x^2 + x^3 near x = 3.24914)^1
Hosoya index | 360 Kirchhoff index | 39 stability index | 350 Wiener index | 88