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An Adjacency Criterion for Coxeter Matroids (1999)

Borovik, Alexandre ; Vince, Andrew

Springer

Journal of algebraic combinatorics 9 (1999), S. 271-280

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ISSN: 1572-9192

Keywords: matroid ; Coxeter matroid ; Coxeter group ; matroid polytope

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A Coxeter matroid is a generalization of matroid, ordinary matroid being the case corresponding to the family of Coxeter groups A n , which are isomorphic to the symmetric groups. A basic result in the subject is a geometric characterization of Coxeter matroid in terms of the matroid polytope, a result first stated by Gelfand and Serganova. This paper concerns properties of the matroid polytope. In particular, a criterion is given for adjacency of vertices in the matroid polytope.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1018600303418

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