
Improved bound for the Carathéodory rank of the bases of a matroid
2003; Elsevier BV; Volume: 88; Issue: 2 Linguagem: Inglês
10.1016/s0095-8956(03)00034-0
ISSN1096-0902
AutoresJosé Coelho de Pina, José Soares,
Tópico(s)graph theory and CDMA systems
ResumoLet M be a matroid on m elements and let r be its rank. We show that any vector in the integer cone of the incidence vectors of bases of M can be written as nonnegative integer combination of at most m+r−1 incidence vectors of bases of M.
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