Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-23T22:22:15.043Z Has data issue: false hasContentIssue false
  • English
  • Français

Partitioning Matroids with Only Small Cocircuits

Published online by Cambridge University Press:  25 April 2002

BOGDAN OPOROWSKI
BOGDAN OPOROWSKI
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803-4918, USA (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We show that, for every positive integer c*, there is an integer n such that, if M is a matroid whose largest cocircuit has size c*, then E(M) can be partitioned into two sets E1 and E2 such that every connected component of each of M[mid ]E1 and M[mid ]E2 has at most n elements.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 11 , Issue 2 , March 2002 , pp. 191 - 197
Copyright
2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)