Bisimplicial edges in bipartite graphs


Bomhoff, Matthijs and Manthey, Bodo (2010) Bisimplicial edges in bipartite graphs. In: Proceedings of the 9th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, CTW 2010, 25-27 May 2010, Cologne, Germany (pp. pp. 29-32).

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Abstract:Bisimplicial edges in bipartite graphs are closely related to pivots in Gaussian elimination that avoid turning zeroes into non-zeroes. We present a new deterministic algorithm to nd such edges in bipartite graphs. The expected time complexity of our new algorithm is $O(n^2 \log n)$ on random bipartite graphs in which each edge is present with a fixed probability p, a polynomial improvement over the fastest algorithm found in the existing literature.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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