Brouwer-Haemers Graph
vertex count | 81 edge count | 810 connected component count | 1
arc-transitive | biconnected | bridgeless | class 2 | conformally rigid | connected | cyclic | determined by spectrum | distance-regular | distance-transitive | edge-transitive | Eulerian | fully reconstructible in C^1 | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | integral | intrinsically linked | LCF | local | multigraphic | nonempty | nongeometric | nonplanar | no perfect matching | not uniquely embeddable | pancyclic | regular | rigid | simple | strongly regular | switchable | symmetric | traceable | ungraceful | vertex-transitive
(not a named graph)
vertex degrees | 20 (81 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 20 edge connectivity | 20
(x - 20) (x - 2)^60 (x + 7)^20
chromatic number | 7 edge chromatic number | 21
(-7)^20 2^60 20^1
Kirchhoff index | 330 stability index | 1.628×10^45 Wiener index | 5670