Title
Approximation algorithms for orienting mixed graphs.
Abstract
Graph orientation is a fundamental problem in graph theory that has recently arisen in the study of signaling-regulatory pathways in protein networks. Given a graph and a list of source–target vertex pairs, one wishes to assign directions to the edges so as to maximize the number of pairs that admit a directed source-to-target path. When the input graph is undirected, a sub-logarithmic approximation is known for this problem. However, the approximability of the biologically-relevant variant, in which the input graph has both directed and undirected edges, was left open. Here we give the first approximation algorithms to this problem. Our algorithms provide a sub-linear guarantee in the general case, and logarithmic guarantees for structured instances.
Year
DOI
Venue
2013
10.1016/j.tcs.2012.03.044
Theoretical Computer Science
Keywords
DocType
Volume
Protein–protein interaction network,Mixed graph,Graph orientation,Approximation algorithm
Journal
483
ISSN
Citations 
PageRank 
0304-3975
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Michael Elberfeld111510.63
Danny Segev223317.05
Colin R. Davidson300.34
Dana Silverbush4112.42
Roded Sharan52792186.61