Geodesic
Tropical convexity
Documenta mathematica, Tome 9 (2004), pp. 1-27.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The notions of convexity and convex polytopes are introduced in the setting of tropical geometry. Combinatorial types of tropical polytopes are shown to be in bijection with regular triangulations of products of two simplices. Applications to phylogenetic trees are discussed.
Classification : 52A30, 92B10 
@article{DOCMA_2004__9__a28,
     author = {Develin, Mike and Sturmfels, Bernd},
     title = {Tropical convexity},
     journal = {Documenta mathematica},
     pages = {1--27},
     publisher = {mathdoc},
     volume = {9},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a28/}
}
TY  - JOUR
AU  - Develin, Mike
AU  - Sturmfels, Bernd
TI  - Tropical convexity
JO  - Documenta mathematica
PY  - 2004
SP  - 1
EP  - 27
VL  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a28/
LA  - en
ID  - DOCMA_2004__9__a28
ER  - 
%0 Journal Article
%A Develin, Mike
%A Sturmfels, Bernd
%T Tropical convexity
%J Documenta mathematica
%D 2004
%P 1-27
%V 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a28/
%G en
%F DOCMA_2004__9__a28
Develin, Mike; Sturmfels, Bernd. Tropical convexity. Documenta mathematica, Tome 9 (2004), pp. 1-27. http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a28/