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Characterization of the existence of galled-tree networks
Arvind Gupta1, Ján Manuch, Xiaohong Zhao
1School of Computing Science, Simon Fraser University, 8888 University Drive, Burnaby BC V5A 1S6, Canada. arvind@mitacs.ca
Abstract:
In this paper, we give a complete characterization of the existence of a galled-tree network in the form of simple sufficient and necessary conditions for both root-known and root-unknown cases. As a by-product we obtain a simple algorithm for constructing galled-tree networks. We also introduce a new necessary condition for the existence of a galled-tree network similar to bi-convexity.
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