Publications related to 'cactus graph' : A connected graph in which any two simple cycles have at most one vertex in common (Wikipedia), generalizes trees and galled trees.
 
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Article (Journal)
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Ulrik Brandes and Sabine Cornelsen. Phylogenetic Graph Models Beyond Trees. In DAM, Vol. 157(10):2361-2369, 2009.
Keywords: abstract network, cactus graph, from splits, phylogenetic network, phylogeny, polynomial, reconstruction.
Note: http://www.inf.uni-konstanz.de/~cornelse/Papers/bc-pgmbt-07.pdf.
       
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Momoko Hayamizu, Katharina Huber, Vincent Moulton and Yukihiro Murakami. Recognizing and realizing cactus metrics. In IPL, Vol. 157(105916):1-5, 2020.
Keywords: cactus graph, from distances, level k phylogenetic network, optimal realization, polynomial.
Note: https://doi.org/10.1016/j.ipl.2020.105916.
       

InProceedings
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Nikita Alexeev and Max A. Alekseyev. Combinatorial Scoring of Phylogenetic Networks. In COCOON16, Vol. 9797:560-572 of LNCS, Springer, 2016.
Keywords: cactus graph, counting, explicit network, galled tree, phylogenetic network, phylogeny.
Note: http://arxiv.org/abs/1602.02841.