Excluded minors for the matroids of branch-width 3
Loading...
Date
2001
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Te Herenga Waka—Victoria University of Wellington
Abstract
This thesis considers the problem of finding the excluded minors for the matroids of branch-width 3. It is shown that the excluded minors have at most 14 elements. The excluded minors are divided into three classes, those that are 4-connected, those that are internally 4-connected, and those that contain a 4-element 3-separator. In this thesis, we find all excluded minors containing a 4-element 3-separator. The results of this thesis are obtained using theorems on connectivity.