Title
Determining a Binary Matroid from its Small Circuits.
Abstract
It is well known that a rank-r matroid M is uniquely determined by its circuits of size at most r. This paper proves that if M is binary and r >= 3, then M is uniquely determined by its circuits of size at most r - 1 unless M is a binary spike or a special restriction thereof. In the exceptional cases, M is determined up to isomorphism.
Year
Venue
Keywords
2016
ELECTRONIC JOURNAL OF COMBINATORICS
binary matroids,circuit-hyperplane relaxations
Field
DocType
Volume
Matroid,Discrete mathematics,Combinatorics,Isomorphism,Electronic circuit,Binary matroid,Mathematics,Binary number
Journal
23
Issue
ISSN
Citations 
1.0
1077-8926
0
PageRank 
References 
Authors
0.34
4
3
Name
Order
Citations
PageRank
James Oxley139757.57
Charles Semple243247.99
Geoff Whittle347157.57