Routing Symmetric Demands in Directed Minor-Free Graphs with Constant Congestion

Authors Timothy Carpenter, Ario Salmasi, Anastasios Sidiropoulos



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Author Details

Timothy Carpenter
  • Dept. of Computer Science & Engineering, The Ohio State University, Columbus, OH, USA
Ario Salmasi
  • Dept. of Computer Science & Engineering, The Ohio State University, Columbus, OH, USA
Anastasios Sidiropoulos
  • Dept. of Computer Science, University of Illinois at Chicago, USA

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Timothy Carpenter, Ario Salmasi, and Anastasios Sidiropoulos. Routing Symmetric Demands in Directed Minor-Free Graphs with Constant Congestion. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 145, pp. 14:1-14:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2019.14

Abstract

The problem of routing in graphs using node-disjoint paths has received a lot of attention and a polylogarithmic approximation algorithm with constant congestion is known for undirected graphs [Chuzhoy and Li 2016] and [Chekuri and Ene 2013]. However, the problem is hard to approximate within polynomial factors on directed graphs, for any constant congestion [Chuzhoy, Kim and Li 2016]. Recently, [Chekuri, Ene and Pilipczuk 2016] have obtained a polylogarithmic approximation with constant congestion on directed planar graphs, for the special case of symmetric demands. We extend their result by obtaining a polylogarithmic approximation with constant congestion on arbitrary directed minor-free graphs, for the case of symmetric demands.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Graph algorithms
Keywords
  • Routing
  • Node-disjoint
  • Symmetric demands
  • Minor-free graphs

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References

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