Computer Science and Information Engineering, World Congress on (2009)

Los Angeles, California USA

Mar. 31, 2009 to Apr. 2, 2009

ISBN: 978-0-7695-3507-4

pp: 86-90

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CSIE.2009.57

ABSTRACT

A rings cycle is an undirected graph obtained from a cycle by replacing each edge of the cycle with a ring so that two rings corresponding to the two end-nodes of any edge have precisely one node in common. Given a weighted hypergraph on a rings cycle, Minimum-Congestion Weighted Hypergraph Embedding in a Rings Cycle (WHERC) is to embed each weighted hyperedges as a path in the rings cycle such that maximal congestion-the sum of weight of embedding paths that use any edge in the rings cycle-is minimized.We prove that the WHERC problem is NP-complete.Â Â 2-approximation algorithms are presented for the WHERC problem and a related problem-WDHETR.

INDEX TERMS

hypergraph; embedding; polynomial-time approximation scheme (PTAS); integer linear programming(ILP)

CITATION

Xiaowei Zheng,
Xiaoshan Liu,
Chunlin Li,
Qi Wang,
"Minimum-Congestion Weighted Hypergraph Embedding in a Rings Cycle",

*Computer Science and Information Engineering, World Congress on*, vol. 03, no. , pp. 86-90, 2009, doi:10.1109/CSIE.2009.57SEARCH