We study representations of tropical linear spaces as intersections of tropical hyperplanes of circuits.
For several classes of matroids, we describe minimal tropical bases.
We also show that every realizable tropical linear space has a natural, tropically linear parametrization involving its cocircuits.
%0 Generic
%1 YuYuster2006
%A Yu, Josephine
%A Yuster, Debbie S.
%D 2006
%K Yu Yuster base circuit cocircuit hyperplane intersection line matroid parameter representation space tropics
%T Representing tropical linear spaces by circuits
%U http://arxiv.org/abs/math/0611579
%X We study representations of tropical linear spaces as intersections of tropical hyperplanes of circuits.
For several classes of matroids, we describe minimal tropical bases.
We also show that every realizable tropical linear space has a natural, tropically linear parametrization involving its cocircuits.
@misc{YuYuster2006,
abstract = { We study representations of tropical linear spaces as intersections of tropical hyperplanes of circuits.
For several classes of matroids, we describe minimal tropical bases.
We also show that every realizable tropical linear space has a natural, tropically linear parametrization involving its cocircuits.
},
added-at = {2008-12-23T17:22:06.000+0100},
author = {Yu, Josephine and Yuster, Debbie S.},
biburl = {https://www.bibsonomy.org/bibtex/261c408ec793263ff5d5cbe34e5dafba9/fwd13},
description = {Representing tropical linear spaces by circuits},
interhash = {7c2badd04241d9db09a3ae4288f94b58},
intrahash = {61c408ec793263ff5d5cbe34e5dafba9},
keywords = {Yu Yuster base circuit cocircuit hyperplane intersection line matroid parameter representation space tropics},
note = {cite arxiv:math/0611579
},
timestamp = {2008-12-23T17:45:49.000+0100},
title = {Representing tropical linear spaces by circuits},
url = {http://arxiv.org/abs/math/0611579},
year = 2006
}