Title
On Minimally 3-Connected Binary Matroids
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}.
Year
DOI
Venue
2001
10.1017/S0963548301004850
Combinatorics, Probability & Computing
Keywords
Field
DocType
3-connectivity result,short inductive proof,new short inductive proof,new result,3-connected matroids,minimally 3-connected binary matroids,minimally k-connected graph
Matroid,Discrete mathematics,Graph,Combinatorics,Mathematical proof,Dirac (video compression format),Graphic matroid,Mathematics,Binary number
Journal
Volume
Issue
ISSN
10
5
0963-5483
Citations 
PageRank 
References 
3
0.45
5
Authors
2
Name
Order
Citations
PageRank
Talmage James Reid14812.18
Haidong Wu2152.63