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Minimum-congestion hypergraph embedding in a cycle

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2 Author(s)
Ganley, J.L. ; Cadence Design Syst. Inc., Herndon, VA, USA ; Cohoon, James P.

The minimum-congestion hypergraph embedding in a cycle (MCHEC) problem is to embed the n edges in an m-vertex hypergraph as paths in a cycle on the same number of vertices, such that congestion-the maximum number of paths that use any single edge in the cycle-is minimized. The MCHEC problem has applications in electronic design automation and parallel computing. In this paper, it is proven that the MCHEC problem is NP-complete. An O((nm)k+1) algorithm is described that computes an embedding with congestion k or determines that such an embedding does not exist. Finally, a linear-time approximation algorithm for arbitrary instances is presented that computes an embedding whose congestion is at most three times optimal

Published in:

Computers, IEEE Transactions on  (Volume:46 ,  Issue: 5 )

Date of Publication:

May 1997

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