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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of algebraic combinatorics 9 (1999), S. 271-280 
    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
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