We prove that if M is a 4-connected binary matroid and N is an internally 4-connected proper minor of M with at least 7 elements, then, unless M is a certain 16-element matroid, there is an element e of E(M) such that either M\e or M/e is internally 4-connected having an N-minor. This strengthens a result of Zhou and is a first step towards obtaining a splitter theorem for internally 4-connected binary matroids. © 2011 Elsevier Inc
AbstractWe prove that if N is an internally 4-connected proper minor of a weakly 4-connected binary ...
Abstract. This paper proves a preliminary step towards a splitter theorem for internally 4-connected...
In an earlier paper, we proved that an internally 4-connected binary matroid with at least seven ele...
Let M and N be internally 4-connected binary matroids such that M has a proper N-minor, and |E (N) |...
AbstractWe prove that if M is a 4-connected binary matroid and N is an internally 4-connected proper...
Let M be a binary matroid that is internally 4-connected, that is, M is 3-connected, and one side of...
This paper proves a preliminary step towards a splitter theorem for internally 4-connected binary ma...
Abstract Let M be an internally 4-connected binary matroid and N be an internally 4-connected proper...
Abstract In our quest to find a splitter theorem for internally 4-connected binary matroids, we prov...
Our splitter theorem studies pairs of the form (M,N), where M and N are internally 4-connected binar...
Let M be a 3-connected binary matroid; M is internally 4-connected if one side of every 3-separation...
Let M be a 3-connected binary matroid; M is called internally 4-connected if one side of every 3-sep...
Abstract. Let M be an internally 4-connected binary matroid and N be an internally 4-connected prope...
Abstract. We prove that if N is an internally 4-connected minor of an internally 4-connected binary ...
Abstract. In our quest to find a splitter theorem for internally 4-connected binary matroids, we pro...
AbstractWe prove that if N is an internally 4-connected proper minor of a weakly 4-connected binary ...
Abstract. This paper proves a preliminary step towards a splitter theorem for internally 4-connected...
In an earlier paper, we proved that an internally 4-connected binary matroid with at least seven ele...
Let M and N be internally 4-connected binary matroids such that M has a proper N-minor, and |E (N) |...
AbstractWe prove that if M is a 4-connected binary matroid and N is an internally 4-connected proper...
Let M be a binary matroid that is internally 4-connected, that is, M is 3-connected, and one side of...
This paper proves a preliminary step towards a splitter theorem for internally 4-connected binary ma...
Abstract Let M be an internally 4-connected binary matroid and N be an internally 4-connected proper...
Abstract In our quest to find a splitter theorem for internally 4-connected binary matroids, we prov...
Our splitter theorem studies pairs of the form (M,N), where M and N are internally 4-connected binar...
Let M be a 3-connected binary matroid; M is internally 4-connected if one side of every 3-separation...
Let M be a 3-connected binary matroid; M is called internally 4-connected if one side of every 3-sep...
Abstract. Let M be an internally 4-connected binary matroid and N be an internally 4-connected prope...
Abstract. We prove that if N is an internally 4-connected minor of an internally 4-connected binary ...
Abstract. In our quest to find a splitter theorem for internally 4-connected binary matroids, we pro...
AbstractWe prove that if N is an internally 4-connected proper minor of a weakly 4-connected binary ...
Abstract. This paper proves a preliminary step towards a splitter theorem for internally 4-connected...
In an earlier paper, we proved that an internally 4-connected binary matroid with at least seven ele...