  Null geodesics, quasinormal modes of a massless scalar field perturbation and
the correspondence with shadow radii are investigated in the background
spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the
properties of null geodesics, we obtain the connection between the radius of a
photon sphere and the radius of a horizon in the five- and six-dimensional
Einstein-Yang-Mills spacetimes. Especially in the five-dimensional case, there
exist two branches for the radius of a photon sphere, but only the branch
outside the event horizon satisfies the condition of circular null geodesics.
Moreover, we find no reflecting points of shadow radii and no spiral-like
shapes on the complex plane of quasinormal frequencies and verify the
correspondence between the quasinormal modes in the eikonal limit and shadow
radii in high-dimensional Einstein-Yang-Mills spacetimes.
