Bases of certain finite groups
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Raffaele Scapellato, Libero Verardi (1994)
Annales mathématiques Blaise Pascal
Ardila, Federico, Reiner, Victor, Williams, Lauren (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels (2002)
Annales de l’institut Fourier
A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singular along binomial divisors. Binomial residues provide an integral representation for rational solutions of -hypergeometric systems of Lawrence type. The space of binomial residues of a given degree, modulo those which are polynomial in some variable, has dimension equal to the Euler characteristic of the matroid associated with .
André Bouchet (1999)
Annales de l'institut Fourier
The following result is proved: if a bipartite graph is not a circle graph, then its complement is not a circle graph. The proof uses Naji’s characterization of circle graphs by means of a linear system of equations with unknowns in .At the end of this short note I briefly recall the work of François Jaeger on circle graphs.
Wojciech Kordecki, Anna Łyczkowska-Hanćkowiak (2013)
Discussiones Mathematicae Graph Theory
Dohmen [4] gives a simple inductive proof of Whitney’s famous broken circuits theorem. We generalise his inductive proof to the case of matroids
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