There exists no distance-regular graph with intersection array {56,36,9;1,3,48}

Details There exists no distance-regular graph with intersection array {56,36,9;1,3,48} There exists no distance-regular graph with intersection array {56,36,9;1,3,48}

2010-11-20

arxiv.org/abs/1011.4581v1

Mathematics

Combinatorics

Scientific paper

We prove that a distance-regular graph with intersection array
{56,36,9;1,3,48} 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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