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Progress in Systems and Telecommunication Engineering
 

The Generalisation of Cutler and Shiloah’s Algorithm for Routing
Julia Chuzhoy and David H. K. Kim
Toyota Technological Institute at Chicago 6045 S. Kenwood Ave Chicago Illinois 60637 USA., Department of Computer Science, University of Chicago 1100 East 58th Street Chicago, Illinois 60615 USA
Abstract: This paper generalizes Cutler and Shiloah’s algorithm for routing with well-separated destinations. We provide an O(n1/4· log n) approximation algorithm for NDP on grids and give the APX-hardness proof. In this work, we discuss the integrality gap of the multicommodity flow LP relaxation when all terminals are far from the grid boundary.
Keywords: Shiloah’s Algorithm, Approximation Algorithm, Grid Boundary The Generalisation of Cutler and Shiloah’s Algorithm for Routing
DOI:https://doi.org/10.6025/pste/2024/13/1/18-43
Full_Text   PDF 4.74 MB   Download:   14  times
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