Characterizing DAG-depth of Directed Graphs

We study DAG-depth, a structural depth measure of directed graphs, which naturally extends the tree-depth of ordinary graphs. We define a DAG-depth decomposition as a strategy for the cop player in the lift-free version of the cops-and-robber game on directed graphs and prove its correctness. The DA...

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Bibliographic Details
Main Author: Matúš Bezek
Format: Article
Language:English
Published: Open Publishing Association 2016-12-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1612.04980v1