Hardness of routing for minimizing superlinear polynomial cost in directed graphs

Yangguang Shi, Fa Zhang, Zhiyong Liu*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study the problem of routing in directed graphs with superlinear polynomial costs, which is significant for improving the energy efficiency of networks. In this problem, we are given a directed graph G(V, E) and a set of traffic demands. Routing (formula presented) units of demands along an edge e will incur a cost of (formula presented). The objective is to find integral routing paths for minimizing (formula presented). Through developing a new labeling technique and applying it to a randomized reduction, we prove an (formula presented) hardness factor for this problem under the assumption that (formula presented).

Original languageEnglish
Title of host publicationTheory and Applications of Models of Computation - 14th Annual Conference, TAMC 2017, Proceedings
EditorsGerhard Jager, Silvia Steila, T.V. Gopal
PublisherSpringer Verlag
Pages571-585
Number of pages15
ISBN (Print)9783319559100
DOIs
Publication statusPublished - 2017
Externally publishedYes
Event14th Annual Conference on Theory and Applications of Models of Computation, TAMC 2017 - Bern, Switzerland
Duration: 20 Apr 201722 Apr 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10185 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference14th Annual Conference on Theory and Applications of Models of Computation, TAMC 2017
Country/TerritorySwitzerland
CityBern
Period20/04/1722/04/17

Keywords

  • Directed graphs
  • Hardness of approximation
  • Network energy effciency
  • Superlinear polynomial cost

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