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We prove that a distance-regular graph with intersection array$\{55,36,11;1,4,45\}$ does not exist. This intersection array is from the tableof feasible parameters for distance-regular graphs in "Distance-regulargraphs"\ by A.E. Brouwer, A.M. Cohen, A. Neumaier.

There exists no distance-regular graph with intersection array {55,36,11;1,4,45}