Publications related to 'approximation' : See Wikipedia.
 
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Article (Journal)
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Jaroslaw Byrka, Pawel Gawrychowski, Katharina Huber and Steven Kelk. Worst-case optimal approximation algorithms for maximizing triplet consistency within phylogenetic networks. In Journal of Discrete Algorithms, Vol. 8(1):65-75, 2010.  
Keywords: approximation, explicit network, from triplets, galled tree, level k phylogenetic network, phylogenetic network, phylogeny, reconstruction.
Note: http://arxiv.org/abs/0710.3258.
       
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Magnus Bordewich and Charles Semple. Computing the minimum number of hybridization events for a consistent evolutionary history. In DAM, Vol. 155:914-918, 2007.  
Keywords: agreement forest, approximation, APX hard, explicit network, from rooted trees, hybridization, inapproximability, NP complete, phylogenetic network, phylogeny, SPR distance.
Note: http://www.math.canterbury.ac.nz/~c.semple/papers/BS06a.pdf.
       

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Jesper Jansson, Nguyen Bao Nguyen and Wing-Kin Sung. Algorithms for Combining Rooted Triplets into a Galled Phylogenetic Network. In SICOMP, Vol. 35(5):1098-1121, 2006. 1 comment  
Keywords: approximation, explicit network, from triplets, galled tree, phylogenetic network, phylogeny, polynomial, reconstruction.
Note: http://www.df.lth.se/~jj/Publications/triplets_to_gn7_SICOMP2006.pdf.
       
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Bhaskar DasGupta, Sergio Ferrarini, Uthra Gopalakrishnan and Nisha Raj Paryani. Inapproximability results for the lateral gene transfer problem. In JCO, Vol. 11(4):387-405, 2006.  
Keywords: approximation, from rooted trees, from species tree, inapproximability, lateral gene transfer, parsimony, phylogenetic network, phylogeny.
Note: http://www.cs.uic.edu/~dasgupta/resume/publ/papers/t-scenario-3-reviewed-3.pdf.
       

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Bin Ma, Lusheng Wang and Ming Li. Fixed topology alignment with recombination. In DAM, Vol. 104:281-300, 2000.  
Keywords: approximation, explicit network, from network, from sequences, galled tree, inapproximability, phylogenetic network, phylogeny, recombination.
Note: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.7759.
       
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Magnus Bordewich and Charles Semple. Budgeted Nature Reserve Selection with diversity feature loss and arbitrary split systems. In JOMB, Vol. 64(1):69-85, 2012.  
Keywords: abstract network, approximation, diversity, phylogenetic network, polynomial, split network.
Note: http://www.math.canterbury.ac.nz/~c.semple/papers/BS11.pdf.
       
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Steven Kelk, Leo van Iersel, Nela Lekic, Simone Linz, Celine Scornavacca and Leen Stougie. Cycle killer... qu'est-ce que c'est? On the comparative approximability of hybridization number and directed feedback vertex set. In SIDMA, Vol. 26(4):1635-1656, 2012.  
Keywords: agreement forest, approximation, explicit network, from rooted trees, minimum number, phylogenetic network, phylogeny, Program CycleKiller, reconstruction.
Note: http://arxiv.org/abs/1112.5359, about the title.
       
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Leo van Iersel, Steven Kelk, Nela Lekic and Leen Stougie. Approximation algorithms for nonbinary agreement forests. In SIDMA, Vol. 28(1):49-66, 2014.  
Keywords: agreement forest, approximation, from rooted trees, hybridization, minimum number, phylogenetic network, phylogeny, reconstruction.
Note: http://arxiv.org/abs/1210.3211.
       
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Leo van Iersel, Steven Kelk, Nela Lekic and Celine Scornavacca. A practical approximation algorithm for solving massive instances of hybridization number for binary and nonbinary trees. In BMCB, Vol. 15(127):1-12, 2014.  
Keywords: agreement forest, approximation, explicit network, from rooted trees, phylogenetic network, phylogeny, Program CycleKiller, Program TerminusEst, reconstruction.
Note: http://dx.doi.org/10.1186/1471-2105-15-127.
       

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Leo van Iersel, Vincent Moulton, Eveline De Swart and Taoyang Wu. Binets: fundamental building blocks for phylogenetic networks. In BMB, Vol. 79(5):1135-1154, 2017.  
Keywords: approximation, explicit network, from binets, galled tree, level k phylogenetic network, NP complete, phylogenetic network, phylogeny, reconstruction.
Note: http://dx.doi.org/10.1007/s11538-017-0275-4.
       

InProceedings
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Jesper Jansson, Nguyen Bao Nguyen and Wing-Kin Sung. Algorithms for Combining Rooted Triplets into a Galled Phylogenetic Network. In SODA05, Pages 349-358, 2005. 1 comment  
Keywords: approximation, explicit network, from triplets, galled tree, phylogenetic network, phylogeny, polynomial, reconstruction.
Note: http://portal.acm.org/citation.cfm?id=1070481.
       

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Guohua Jin, Luay Nakhleh, Sagi Snir and Tamir Tuller. A New Linear-time Heuristic Algorithm for Computing the Parsimony Score of Phylogenetic Networks: Theoretical Bounds and Empirical Performance. In ISBRA07, Vol. 4463:61-72 of LNCS, springer, 2007.  
Keywords: approximation, heuristic, parsimony, phylogenetic network, phylogeny, Program Nepal.
Note: http://www.cs.rice.edu/~nakhleh/Papers/isbra07.pdf.
       

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Bhaskar DasGupta, Sergio Ferrarini, Uthra Gopalakrishnan and Nisha Raj Paryani. Inapproximability results for the lateral gene transfer problem. In Proceedings of the Ninth Italian Conference on Theoretical Computer Science (ICTCS'05), Pages 182-195, springer, 2005.  
Keywords: approximation, from rooted trees, from species tree, inapproximability, lateral gene transfer, parsimony, phylogenetic network, phylogeny.
Note: http://www.cs.uic.edu/~dasgupta/resume/publ/papers/ictcs-final.pdf.
       

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Bin Ma, Lusheng Wang and Ming Li. Fixed topology alignment with recombination. In CPM98, Vol. 1448:174-188 of LNCS, springer, 1998.  
Keywords: approximation, explicit network, from network, from sequences, galled tree, inapproximability, phylogenetic network, phylogeny, recombination.
Note: http://dx.doi.org/10.1007/BFb0030789.
       

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Leo van Iersel, Steven Kelk, Nela Lekic and Celine Scornavacca. A practical approximation algorithm for solving massive instances of hybridization number. In WABI12, Vol. 7534(430-440) of LNCS, springer, 2012.  
Keywords: agreement forest, approximation, explicit network, from rooted trees, hybridization, phylogenetic network, phylogeny, Program CycleKiller, Program Dendroscope, Program HybridNET, reconstruction, software.
Note: http://arxiv.org/abs/1205.3417.
       
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Chris Whidden and Norbert Zeh. A Unifying View on Approximation and FPT of Agreement Forests. In WABI09, Vol. 5724:390-402 of LNCS, Springer, 2009.  
Keywords: agreement forest, approximation, explicit network, FPT, minimum number, phylogenetic network, phylogeny, reconstruction.
Note: https://www.cs.dal.ca/sites/default/files/technical_reports/CS-2009-02.pdf.
       
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MastersThesis
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Puspal Bhabak. Improving the approximation ratio of the maximum agreement forest (MAF) on k trees and estimating the approximation ratio of the acyclic-MAF on k trees. Master's thesis, University of Windsor, Canada, 2011.  
Keywords: agreement forest, approximation, explicit network, from rooted trees, phylogenetic network, phylogeny, reconstruction.
Note: http://scholar.uwindsor.ca/cgi/viewcontent.cgi?article=1315&context=etd.
       

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Chris Whidden. A Unifying View on Approximation and FPT of Agreement Forests. Master's thesis, Dalhousie University, Canada, 2009.  
Keywords: agreement forest, approximation, explicit network, FPT, from rooted trees, hybridization, phylogenetic network, phylogeny, reconstruction, SPR distance.
Note: http://web.cs.dal.ca/~whidden/MCSThesis09.pdf.
       

Misc
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Puspal Bhabak and Asish Mukhopadhyay. A 3-factor approximation algorithm for a Minimum Acyclic Agreement Forest on k rooted, binary phylogenetic trees. 2014.  
Keywords: agreement forest, approximation, explicit network, from rooted trees, phylogenetic network, phylogeny, reconstruction.
Note: http://arxiv.org/abs/1407.7125.