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• AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institutionAbout this TitleMichael Joswig, Max-Planck Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany Publication: Graduate Studies in Mathematics
Publication Year: 2021; Volume 219
ISBNs: 978-1-4704-6653-4 (print); 978-1-4704-6740-1 (online)
DOI: https://doi.org/10.1090/gsm/219 View full volume as ePUB View full volume as PDF Read more about this volume The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges between these two subject areas is fruitful in two ways. Through tropical geometry optimization algorithms become applicable to questions in algebraic geometry. Conversely, looking at topics in optimization through the tropical geometry lens adds an additional layer of structure. The author covers contemporary research topics that are relevant for applications such as phylogenetics, neural networks, combinatorial auctions, game theory, and computational complexity. This self-contained book grew out of several courses given at Technische Universität Berlin and elsewhere, and the main prerequisite for the reader i • Bibliographic references for the synthetic treeThe following studies (listed alphabetically by first author) have contributed to the current synthetic tree. A. Bucklin, B. Frost, J. Bradford-Grieve, L. Allen, N. Copley, 2003, 'Molecular systematic and phylogenetic assessment of 34 calanoid copepod species of the Calanidae and Clausocalanidae', Marine Biology, vol. 142, no. 2, pp. 333-343 https://doi.org/10.1007/s00227-002-0943-1 A. A. Crowl, N. W. Miles, C. J. Visger, K. Hansen, T. Ayers, R. Haberle, N. Cellinese, 2016, 'A global perspective on Campanulaceae: Biogeographic, genomic, and floral evolution', American Journal of Botany https://doi.org/10.3732/ajb.1500450 A. C. Schneider, W. A. Freyman, C. M. Guilliams, Y. P. Springer, B. G. Baldwin, 2016, 'Pleistocene radiation of the serpentine-adapted genus Hesperolinon and other divergence times in Linaceae (Malpighiales)', American Journal of Botany, vol. 103, no. 2, pp. 221-232 https://doi.org/10.3732/ajb.1500379 A. Leuchtmann, C. W. Bacon, C. L. Schardl, J. F. White, M. Tadych, 2014, 'Nomenclatural realignment of Neotyphodium species with genus Epichloe', Mycologia, vol. 106, no. 2, pp. 202-215 https://doi.org/10.3852/106.2.202 A. da Marcela Vasco-Palacios, C. 
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