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Valuations for Matroid Polytope Subdivisions

Published online by Cambridge University Press:  20 November 2018

Federico Ardila ,
Alex Fink  and
Felipe Rincón
Federico Ardila*
Affiliation:
San Francisco State University, San Francisco, CA, USA
Alex Fink*
Affiliation:
University of California, Berkeley, Berkeley, CA, USA
Felipe Rincón*
Affiliation:
Universidad de Los Andes, Bogotá, Colombia
*
federico@math.sfsu.edu
finka@math.berkeley.edu
ed-rinco@uniandes.edu.co
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Abstract

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We prove that the ranks of the subsets and the activities of the bases of a matroid define valuations for the subdivisions of a matroid polytope into smaller matroid polytopes.

Keywords

05B3552B4052B4552C22
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 6 , 14 December 2010 , pp. 1228 - 1245
Copyright
Copyright © Canadian Mathematical Society 2010

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