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

There exists no distance-regular graph with intersection array {56,36,9;1,3,48} - Mathematics > Combinatorics - Download this document for free, or read online. Document in PDF available to download.

Abstract: 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 offeasible parameters for distance-regular graphs in -Distance-regular graphs-\by A.E. Brouwer, A.M. Cohen, A. Neumaier.

Author: ** Alexander L. Gavrilyuk**

Source: https://arxiv.org/