Geodesic
Valuations for Matroid Polytope Subdivisions
Canadian journal of mathematics, Tome 62 (2010) no. 6, pp. 1228-1245

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DOI

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.
DOI : 10.4153/CJM-2010-064-9
Mots-clés : 05B35, 52B40, 52B45, 52C22 
Ardila, Federico; Fink, Alex; Rincón, Felipe. Valuations for Matroid Polytope Subdivisions. Canadian journal of mathematics, Tome 62 (2010) no. 6, pp. 1228-1245. doi: 10.4153/CJM-2010-064-9
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     author = {Ardila, Federico and Fink, Alex and Rinc\'on, Felipe},
     title = {Valuations for {Matroid} {Polytope} {Subdivisions}},
     journal = {Canadian journal of mathematics},
     pages = {1228--1245},
     year = {2010},
     volume = {62},
     number = {6},
     doi = {10.4153/CJM-2010-064-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-064-9/}
}
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