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A 1.5 approximation algorithm for embedding hyperedges in a cycle

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2 Author(s)
Sing Ling Lee ; Dept. of Comput. Sci. & Inf. Eng., Nat. Chung-Cheng Univ., Ming-Hsiung, Taiwan ; Hann-Jang Ho

The problem of minimum congestion hypergraph embedding in a cycle (MCHEC) is to embed the hyperedges of a hypergraph as adjacent paths around a cycle, such that the maximum congestion over any physical link in the cycle is minimized. The problem is NP-complete in general, but solvable in polynomial time when all hyperedges contain exactly two vertices. In this paper, we first formulate the problem as an integer linear program (ILP). Then, a solution with approximation bound of 1.5(opt + 1) is presented by using a clockwise (2/3)-rounding algorithm, where opt denotes the optimal value of maximum congestion. To our knowledge, this is the best approximation bound known for the MCHEC problem.

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:16 ,  Issue: 6 )