Huge tables and multicommodity flows are fixed-parameter tractable via unimodular integer Carathéodory

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Huge tables and multicommodity flows are fixed-parameter tractable via unimodular integer Carathéodory

Article history: Received 29 February 2016 Received in revised form 27 June 2016 Accepted 25 July 2016 Available online 12 August 2016

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Huge tables are fixed parameter tractable via unimodular integer Caratheodory

The three-way table problem is to decide if there exists an l × m × n table satisfying given line sums, and find a table if yes. Recently, it was shown to be fixed-parameter tractable with parameters l, m. Here we extend this and show that the huge version of the problem, where the variable side n is encoded in binary, is also fixed-parameter tractable with parameters l, m. We also conclude tha...

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Integer Multicommodity Flows with Reduced

Given a supply graph G = (V; E), a demand graph H = (T; D), edge capacities c : E 7 ! II N and requests r : D 7 ! II N, we consider the problem of nding integer multiiows subject to c; r. Korach and Penn constructed approximate integer multiiows for planar graphs, but no results were known for the general case. Via derandomization we present a polynomial-time approximation algorithm. There are ...

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Integer Multicommodity Flows with Reduced Demands Integer Multicommodity Flows with Reduced Demands

Given a supply graph G = (V; E), a demand graph H = (T; D), edge capacities c : E 7 ! II N and requests r : D 7 ! II N, we consider the problem of nding integer multiiows subject to c; r. Korach and Penn constructed approximate integer multiiows for planar graphs, but no results were known for the general case. Via derandomization we present a polynomial-time approximation algorithm. There are ...

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ژورنال

عنوان ژورنال: Journal of Computer and System Sciences

سال: 2017

ISSN: 0022-0000

DOI: 10.1016/j.jcss.2016.07.004