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Lattice path matroids: structural properties

Autor
Bonin, J.; De Mier, A.
Tipus d'activitat
Article en revista
Revista
European journal of combinatorics
Data de publicació
2006
Volum
27
Número
5
Pàgina inicial
701
Pàgina final
738
DOI
https://doi.org/10.1016/j.ejc.2005.01.008 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/11878 Obrir en finestra nova
Resum
This paper studies structural aspects of lattice path matroids. Among the basic topics treated are direct sums, duals, minors, circuits, and connected flats. One of the main results is a characterization of lattice path matroids in terms of fundamental flats, which are special connected flats from which one can recover the paths that define the matroid. We examine some aspects related to key topics in the literature of transversal matroids and we determine the connectivity of lattice path matroi...
Citació
Bonin, J.; de Mier, A. Lattice path matroids: structural properties. "European journal of combinatorics", 2006, vol. 27, núm. 5, p. 701-738.
Grup de recerca
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

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