Can anyone recommend a paper about application of extremal (tropical) algebra?

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Artur Sergyeyev

For applications in pure math (enumerative algebraic geometry etc.), see this mathoverflow discussion: http://mathoverflow.net/questions/83624/why-tropical-geometry . The last answer there indicates some applications to the study of DNA, see e.g. the book Algebraic Statistics for Computational Biology, ed. by L. Pachter and B. Sturmfels, Cambridge, Cambridge University Press, 2005.

Hana Tomášková

Thank you :-)