Skip to main content
Log in

Symplectic Spaces And Ear-Decomposition Of Matroids

Combinatorica Aims and scope Submit manuscript

Matroids admitting an odd ear-decomposition can be viewed as natural generalizations of factor-critical graphs. We prove that a matroid representable over a field of characteristic 2 admits an odd ear-decomposition if and only if it can be represented by some space on which the induced scalar product is a non-degenerate symplectic form. We also show that, for a matroid representable over a field of characteristic 2, the independent sets whose contraction admits an odd ear-decomposition form the family of feasible sets of a representable Δ-matroid.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Balázs Szegedy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Szegedy, B., Szegedy, C. Symplectic Spaces And Ear-Decomposition Of Matroids. Combinatorica 26, 353–377 (2006). https://doi.org/10.1007/s00493-006-0020-3

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00493-006-0020-3

Mathematics Subject Classification (2000):

Navigation