Contents

Ars Combinatoria

  • Research article

Paving Matroids of Arbitrary Cardinality

Hua Mao1,2,3
1Department of Mathematics, Hebei University, Baoding 071002, China)
2Mathematical Research Center of Hebei Province, Shijiazhuang 050016, China
3Key Lab. in Mach. Learn. and Comp. oney Hebei Prov., Baoding 071002,
  • Published: 31/01/2009

Abstract

This paper extends the concept of paving from finite matroids to matroids of arbitrary cardinality. Afterwards, a paving matroid of arbitrary cardinality is characterized in terms of its collection of closed sets, independent sets, and circuits, respectively.

Citation
Hua Mao. Paving Matroids of Arbitrary Cardinality[J], Ars Combinatoria, Volume 090. 245-256. .