Forbidden Directed Minors and Kelly-width
Combinatorics
2014-01-14 v2 Discrete Mathematics
Abstract
Partial 1-trees are undirected graphs of treewidth at most one. Similarly, partial 1-DAGs are directed graphs of KellyWidth at most two. It is well-known that an undirected graph is a partial 1-tree if and only if it has no K_3 minor. In this paper, we generalize this characterization to partial 1-DAGs. We show that partial 1-DAGs are characterized by three forbidden directed minors, K_3, N_4 and M_5.
Cite
@article{arxiv.1308.5170,
title = {Forbidden Directed Minors and Kelly-width},
author = {Shiva Kintali and Qiuyi Zhang},
journal= {arXiv preprint arXiv:1308.5170},
year = {2014}
}