Counting set covers and split graphs
Journal of integer sequences, Tome 3 (2000) no. 2
A bijection between split graphs and minimal covers of a set by subsets is presented. As the enumeration problem for such minimal covers has been solved, this implies that split graphs can also be enumerated.
@article{JIS_2000__3_2_a0,
author = {Royle, Gordon F.},
title = {Counting set covers and split graphs},
journal = {Journal of integer sequences},
year = {2000},
volume = {3},
number = {2},
zbl = {0953.05033},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2000__3_2_a0/}
}
Royle, Gordon F. Counting set covers and split graphs. Journal of integer sequences, Tome 3 (2000) no. 2. http://geodesic.mathdoc.fr/item/JIS_2000__3_2_a0/