The University of Michigan Student Combinatorics Seminar
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Abstract |
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One of the main motivations in the study of m-dissimilarity vectors of
trees comes from Evolutionary Biology. However, the problem has its
own
interest from a combinatorial viewpoint. We will discuss some aspects
of
it, including a simple relation between Tropical Grassmannians and
trees.
If time permits, we will also show three different characterizations
of
m-dissimilarity vectors of trees when m=2, and their possible
generalizations to higher values of m. This will make use of previuous
results and introduce the concept of tropical linear space or tight
span of
an m-dissimilarity vector.
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