Distances on the tropical line determined by two points

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Distances on the tropical line determined by two points

Let p′ and q′ be points in R. Write p′ ∼ q′ if p′ − q′ is a multiple of (1, . . . , 1). Two different points p and q in R/ ∼ uniquely determine a tropical line L(p, q) passing through them and stable under small perturbations. This line is a balanced unrooted semi–labeled tree on n leaves. It is also a metric graph. If some representatives p′ and q′ of p and q are the first and second columns o...

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ژورنال

عنوان ژورنال: Kybernetika

سال: 2014

ISSN: 0023-5954,1805-949X

DOI: 10.14736/kyb-2014-3-0408