There exists no distance-regular graph with intersection array {55,36,11;1,4,45}
Combinatorics
2010-11-09 v1
Abstract
We prove that a distance-regular graph with intersection array 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.
Cite
@article{arxiv.1011.1679,
title = {There exists no distance-regular graph with intersection array {55,36,11;1,4,45}},
author = {Alexander L. Gavrilyuk},
journal= {arXiv preprint arXiv:1011.1679},
year = {2010}
}