Disconnecting strongly regular graphs

作者:Cioaba Sebastian M*; Koolen Jack; Li Weiqiang
来源:European Journal of Combinatorics, 2014, 38: 1-11.
DOI:10.1016/j.ejc.2013.10.008

摘要

In this paper, we show that the minimum number of vertices whose removal disconnects a connected strongly regular graph into non-singleton components equals the size of the neighborhood of an edge for many graphs. These include block graphs of Steiner 2-designs, many Latin square graphs and strongly regular graphs whose intersection parameters are at most a quarter of their valency.