Back to Search Start Over

Efficient Algorithms for Measuring the Funnel-likeness of DAGs

Authors :
Millani, Marcelo Garlet
Molter, Hendrik
Niedermeier, Rolf
Sorge, Manuel
Publication Year :
2018

Abstract

Funnels are a new natural subclass of DAGs. Intuitively, a DAG is a funnel if every source-sink path can be uniquely identified by one of its arcs. Funnels are an analog to trees for directed graphs that is more restrictive than DAGs but more expressive than in-/out-trees. Computational problems such as finding vertex-disjoint paths or tracking the origin of memes remain NP-hard on DAGs while on funnels they become solvable in polynomial time. Our main focus is the algorithmic complexity of finding out how funnel-like a given DAG is. To this end, we study the NP-hard problem of computing the arc-deletion distance to a funnel of a given DAG. We develop efficient exact and approximation algorithms for the problem and test them on synthetic random graphs and real-world graphs.<br />Comment: Submitted to ISCO 2018

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1801.10401
Document Type :
Working Paper