Abstract
For all positive integers k, the class B k of matroids of branch-width at most k is minor-closed. When k is 1 or 2, the class B k is, respectively, the class of direct sums of loops and coloops, and the class of direct sums of series–parallel networks. B 3 is a much richer class as it contains infinite antichains of matroids and is thus not well-quasi-ordered under the minor order. In this paper, it is shown that, like B 1 and B 2, the class B 3 can be characterized by a finite list of excluded minors.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
