Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-29T02:01:30.135Z Has data issue: false hasContentIssue false
  • English
  • Français

On Minimally 3-Connected Binary Matroids

Published online by Cambridge University Press:  10 December 2001

TALMAGE JAMES REID  and
HAIDONG WU
TALMAGE JAMES REID
Affiliation:
Department of Mathematics, The University of Mississippi, University, MS 38677, USA; (e-mail: [email protected])
HAIDONG WU
Affiliation:
Department of Mathematics, Southern University, Baton Rouge, Louisiana, LA 70813, USA; (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We generalize a minimal 3-connectivity result of Halin from graphs to binary matroids. As applications of this theorem to minimally 3-connected matroids, we obtain new results and short inductive proofs of results of Oxley and Wu. We also give new short inductive proofs of results of Dirac and Halin on minimally k-connected graphs for k ∈ {2,3}.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 10 , Issue 5 , September 2001 , pp. 453 - 461
Copyright
2001 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.)