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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
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. 2-approximation algorithms are presented for the WHERC problem and a related problem-WDHETR.
hypergraph; embedding; polynomial-time approximation scheme (PTAS); integer linear programming(ILP)

X. Zheng, X. Liu, C. Li and Q. Wang, "Minimum-Congestion Weighted Hypergraph Embedding in a Rings Cycle," 2009 WRI World Congress on Computer Science and Information Engineering, CSIE(CSIE), Los Angeles, CA, 2009, pp. 86-90.
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