Jun 23, 2006 · We prove that, for any positive integer k, every internally 4-connected graph of sufficiently high order contains a parallel minor isomorphic to a variation of ...

Dec 22, 2008 · A parallel minor is obtained from a graph by any sequence of edge contractions and parallel edge deletions. We prove that, for any positive ...

In this paper, we will explore unavoidable parallel minors in 1-, 2-, 3-, and in- ternally 4-connected graphs of large order, building on the results of [1] in ...

It is proved that, for any positive integer k, every internally 4-connected graph of sufficiently high order contains a parallel minor isomorphic to a ...

Abstract. A parallel minor is obtained from a graph by any sequence of edge contractions and parallel edge deletions. We prove that, for any positive.

We prove that, for any positive integer k, every internally 4-connected graph of sufficiently high order contains a parallel minor isomorphic to a variation of ...

Abstract: A parallel minor is obtained from a graph by any sequence of edge contractions and parallel edge deletions. We prove that, for any po-.

A parallel minor is obtained from a graph by any sequence of edge contractions and parallel edge deletions. We prove that, for any positive integer k, ...

Here we give an equivalent characterization for n-biconnectivity. 92. Lemma 2.2 For n ≥ 3, a graph G on at least n vertices and at least 2n − 2.

If M and N are both matroids or are both graphs, N is a parallel minor of M if N can be obtained from M by a sequence of moves each consisting of contracting an ...