IJPAM: Volume 106, No. 2 (2016)
LINEARLY INDEPENDENT SET FAMILIES
Department of Mathematics and Statistics
State University of Ponta Grossa
84030-900, Ponta Grossa - PR, BRAZIL
Department of Mathematics
Federal University of Parana,
CP 19.011, 81.531-990, Curitiba, PR, BRAZIL
Abstract. New families of matroids are constructed in this note. These new families are derived from the concept of linearly independent set family (LISF) introduced by Eicker and Ewald [Linear Algebra and its Applications 388 (2004) 173-191]. The proposed construction generalizes in a natural way the well known class of vectorial matroids over a field.
Received: May 4, 2015
AMS Subject Classification: 81Q99
Key Words and Phrases: matroid theory, linearly independent set family
Download paper from here.
DOI: 10.12732/ijpam.v106i2.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 381 - 387