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Antipodal covers of strongly regular graphs which are not necessarily distance-regular are studied. The structure of short cycles in an antipodal cover is considered. In most cases, this provides a tool to determine if a strongly regular graph has an antipodal cover. In these cases, covers cannot be distance-regular except when they cover a complete bipartite graph. A relationship between antipodal covers of a graph and its line graph is investigated. Finally, antipodal covers of completedoi:10.1016/s0012-365x(97)00139-8 fatcat:shuni5ozqffhroi3psagupjgyy