New infinite families of directed strongly regular graphs via equitable partitions
Combinatorics
2015-04-02 v1
Abstract
In this paper we introduce a construction of directed strongly regular graphs from smaller ones using equitable partitions. Each equitable partition of a single DSRG satisfying several conditions leads to an infinite family of directed strongly regular graphs. We construct in this way dozens of infinite families. For order at most 110, we confirm the existence of DSRGs for 30 previously open parameter sets.
Keywords
Cite
@article{arxiv.1504.00161,
title = {New infinite families of directed strongly regular graphs via equitable partitions},
author = {Štefan Gyürki},
journal= {arXiv preprint arXiv:1504.00161},
year = {2015}
}
Comments
27 pages