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

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

2010-11-07

arxiv.org/abs/1011.1679v1

Mathematics

Combinatorics

Scientific paper

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 table
of feasible parameters for distance-regular graphs in "Distance-regular
graphs"\ by A.E. Brouwer, A.M. Cohen, A. Neumaier.

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